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Finding the Third Proportional to 4,127,396,663,746.40 and 8,979,440,986,728.80

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Solution

The third proportional to 4,127,396,663,746.40 and 8,979,440,986,728.80 is: 19,535,403,791,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127,396,663,746.40 : 8,979,440,986,728.80 = 8,979,440,986,728.80 : x
  2. Step 2: Convert to fraction form
    4,127,396,663,746.40/8,979,440,986,728.80 = 8,979,440,986,728.80/x
  3. Step 3: Cross multiply
    4,127,396,663,746.40x = 8,979,440,986,728.80 × 8,979,440,986,728.80
  4. Step 4: Simplify right side
    4,127,396,663,746.40x = 80,630,360,434,145,105,824,186,368
  5. Step 5: Solve for x
    x = 80,630,360,434,145,105,824,186,368/4,127,396,663,746.40
  6. Step 6: Final answer
    x = 19,535,403,791,541.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.