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Finding the Third Proportional to 353,243,461,853.25 and 770,420,272,711.50

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Solution

The third proportional to 353,243,461,853.25 and 770,420,272,711.50 is: 1,680,278,506,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,243,461,853.25 : 770,420,272,711.50 = 770,420,272,711.50 : x
  2. Step 2: Convert to fraction form
    353,243,461,853.25/770,420,272,711.50 = 770,420,272,711.50/x
  3. Step 3: Cross multiply
    353,243,461,853.25x = 770,420,272,711.50 × 770,420,272,711.50
  4. Step 4: Simplify right side
    353,243,461,853.25x = 593,547,396,604,862,016,782,336
  5. Step 5: Solve for x
    x = 593,547,396,604,862,016,782,336/353,243,461,853.25
  6. Step 6: Final answer
    x = 1,680,278,506,758.16

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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.