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Finding the Third Proportional to 1,946,796,925,339.10 and 2,861,877,842,728.80

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Solution

The third proportional to 1,946,796,925,339.10 and 2,861,877,842,728.80 is: 4,207,087,385,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,796,925,339.10 : 2,861,877,842,728.80 = 2,861,877,842,728.80 : x
  2. Step 2: Convert to fraction form
    1,946,796,925,339.10/2,861,877,842,728.80 = 2,861,877,842,728.80/x
  3. Step 3: Cross multiply
    1,946,796,925,339.10x = 2,861,877,842,728.80 × 2,861,877,842,728.80
  4. Step 4: Simplify right side
    1,946,796,925,339.10x = 8,190,344,786,702,048,465,780,736
  5. Step 5: Solve for x
    x = 8,190,344,786,702,048,465,780,736/1,946,796,925,339.10
  6. Step 6: Final answer
    x = 4,207,087,385,488.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.