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Finding the Third Proportional to 726,996,250 and 1,564,847,156

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Solution

The third proportional to 726,996,250 and 1,564,847,156 is: 3,368,307,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,996,250 : 1,564,847,156 = 1,564,847,156 : x
  2. Step 2: Convert to fraction form
    726,996,250/1,564,847,156 = 1,564,847,156/x
  3. Step 3: Cross multiply
    726,996,250x = 1,564,847,156 × 1,564,847,156
  4. Step 4: Simplify right side
    726,996,250x = 2,448,746,621,641,288,192
  5. Step 5: Solve for x
    x = 2,448,746,621,641,288,192/726,996,250
  6. Step 6: Final answer
    x = 3,368,307,087.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.