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Finding the Third Proportional to 739,966,072,346 and 1,177,431,486,699

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Solution

The third proportional to 739,966,072,346 and 1,177,431,486,699 is: 1,873,524,959,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,966,072,346 : 1,177,431,486,699 = 1,177,431,486,699 : x
  2. Step 2: Convert to fraction form
    739,966,072,346/1,177,431,486,699 = 1,177,431,486,699/x
  3. Step 3: Cross multiply
    739,966,072,346x = 1,177,431,486,699 × 1,177,431,486,699
  4. Step 4: Simplify right side
    739,966,072,346x = 1,386,344,905,870,217,310,109,696
  5. Step 5: Solve for x
    x = 1,386,344,905,870,217,310,109,696/739,966,072,346
  6. Step 6: Final answer
    x = 1,873,524,959,698.39

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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.