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Finding the Third Proportional to 782,508,812.63 and 1,687,596,423.75

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Solution

The third proportional to 782,508,812.63 and 1,687,596,423.75 is: 3,639,552,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,508,812.63 : 1,687,596,423.75 = 1,687,596,423.75 : x
  2. Step 2: Convert to fraction form
    782,508,812.63/1,687,596,423.75 = 1,687,596,423.75/x
  3. Step 3: Cross multiply
    782,508,812.63x = 1,687,596,423.75 × 1,687,596,423.75
  4. Step 4: Simplify right side
    782,508,812.63x = 2,847,981,689,453,789,696
  5. Step 5: Solve for x
    x = 2,847,981,689,453,789,696/782,508,812.63
  6. Step 6: Final answer
    x = 3,639,552,224.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.