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Finding the Third Proportional to 508,861,930 and 778,092,082

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Solution

The third proportional to 508,861,930 and 778,092,082 is: 1,189,767,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,861,930 : 778,092,082 = 778,092,082 : x
  2. Step 2: Convert to fraction form
    508,861,930/778,092,082 = 778,092,082/x
  3. Step 3: Cross multiply
    508,861,930x = 778,092,082 × 778,092,082
  4. Step 4: Simplify right side
    508,861,930x = 605,427,288,071,094,784
  5. Step 5: Solve for x
    x = 605,427,288,071,094,784/508,861,930
  6. Step 6: Final answer
    x = 1,189,767,306.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.