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Finding the Third Proportional to 739,966,072,348 and 1,177,431,486,702

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Solution

The third proportional to 739,966,072,348 and 1,177,431,486,702 is: 1,873,524,959,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,966,072,348 : 1,177,431,486,702 = 1,177,431,486,702 : x
  2. Step 2: Convert to fraction form
    739,966,072,348/1,177,431,486,702 = 1,177,431,486,702/x
  3. Step 3: Cross multiply
    739,966,072,348x = 1,177,431,486,702 × 1,177,431,486,702
  4. Step 4: Simplify right side
    739,966,072,348x = 1,386,344,905,877,281,994,440,704
  5. Step 5: Solve for x
    x = 1,386,344,905,877,281,994,440,704/739,966,072,348
  6. Step 6: Final answer
    x = 1,873,524,959,702.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.