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Finding the Third Proportional to 239,924,853,759 and 499,708,146,609

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Solution

The third proportional to 239,924,853,759 and 499,708,146,609 is: 1,040,776,842,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,924,853,759 : 499,708,146,609 = 499,708,146,609 : x
  2. Step 2: Convert to fraction form
    239,924,853,759/499,708,146,609 = 499,708,146,609/x
  3. Step 3: Cross multiply
    239,924,853,759x = 499,708,146,609 × 499,708,146,609
  4. Step 4: Simplify right side
    239,924,853,759x = 249,708,231,787,401,835,446,272
  5. Step 5: Solve for x
    x = 249,708,231,787,401,835,446,272/239,924,853,759
  6. Step 6: Final answer
    x = 1,040,776,842,728.55

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.