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Finding the Third Proportional to 1,729,494,713,893 and 3,719,272,435,377

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Solution

The third proportional to 1,729,494,713,893 and 3,719,272,435,377 is: 7,998,282,583,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,494,713,893 : 3,719,272,435,377 = 3,719,272,435,377 : x
  2. Step 2: Convert to fraction form
    1,729,494,713,893/3,719,272,435,377 = 3,719,272,435,377/x
  3. Step 3: Cross multiply
    1,729,494,713,893x = 3,719,272,435,377 × 3,719,272,435,377
  4. Step 4: Simplify right side
    1,729,494,713,893x = 13,832,987,448,555,161,316,753,408
  5. Step 5: Solve for x
    x = 13,832,987,448,555,161,316,753,408/1,729,494,713,893
  6. Step 6: Final answer
    x = 7,998,282,583,597.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.