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Finding the Third Proportional to 296,376,522,024.38 and 399,881,510,479.12

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Solution

The third proportional to 296,376,522,024.38 and 399,881,510,479.12 is: 539,534,040,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,376,522,024.38 : 399,881,510,479.12 = 399,881,510,479.12 : x
  2. Step 2: Convert to fraction form
    296,376,522,024.38/399,881,510,479.12 = 399,881,510,479.12/x
  3. Step 3: Cross multiply
    296,376,522,024.38x = 399,881,510,479.12 × 399,881,510,479.12
  4. Step 4: Simplify right side
    296,376,522,024.38x = 159,905,222,423,062,566,141,952
  5. Step 5: Solve for x
    x = 159,905,222,423,062,566,141,952/296,376,522,024.38
  6. Step 6: Final answer
    x = 539,534,040,452.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.