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Finding the Third Proportional to 296,619,765 and 626,869,712

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Solution

The third proportional to 296,619,765 and 626,869,712 is: 1,324,812,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,619,765 : 626,869,712 = 626,869,712 : x
  2. Step 2: Convert to fraction form
    296,619,765/626,869,712 = 626,869,712/x
  3. Step 3: Cross multiply
    296,619,765x = 626,869,712 × 626,869,712
  4. Step 4: Simplify right side
    296,619,765x = 392,965,635,822,962,944
  5. Step 5: Solve for x
    x = 392,965,635,822,962,944/296,619,765
  6. Step 6: Final answer
    x = 1,324,812,713.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.