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Finding the Third Proportional to 296,376,522,026 and 399,881,510,482

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Solution

The third proportional to 296,376,522,026 and 399,881,510,482 is: 539,534,040,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,376,522,026 : 399,881,510,482 = 399,881,510,482 : x
  2. Step 2: Convert to fraction form
    296,376,522,026/399,881,510,482 = 399,881,510,482/x
  3. Step 3: Cross multiply
    296,376,522,026x = 399,881,510,482 × 399,881,510,482
  4. Step 4: Simplify right side
    296,376,522,026x = 159,905,222,425,365,876,572,160
  5. Step 5: Solve for x
    x = 159,905,222,425,365,876,572,160/296,376,522,026
  6. Step 6: Final answer
    x = 539,534,040,457.29

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Why These Related Problems?

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