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Finding the Third Proportional to 292,935,744 and 626,642,089.50

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Solution

The third proportional to 292,935,744 and 626,642,089.50 is: 1,340,499,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,935,744 : 626,642,089.50 = 626,642,089.50 : x
  2. Step 2: Convert to fraction form
    292,935,744/626,642,089.50 = 626,642,089.50/x
  3. Step 3: Cross multiply
    292,935,744x = 626,642,089.50 × 626,642,089.50
  4. Step 4: Simplify right side
    292,935,744x = 392,680,308,332,926,016
  5. Step 5: Solve for x
    x = 392,680,308,332,926,016/292,935,744
  6. Step 6: Final answer
    x = 1,340,499,807.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.