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Finding the Third Proportional to 3,329,847,327,552 and 5,298,441,693,300

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Solution

The third proportional to 3,329,847,327,552 and 5,298,441,693,300 is: 8,430,862,323,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329,847,327,552 : 5,298,441,693,300 = 5,298,441,693,300 : x
  2. Step 2: Convert to fraction form
    3,329,847,327,552/5,298,441,693,300 = 5,298,441,693,300/x
  3. Step 3: Cross multiply
    3,329,847,327,552x = 5,298,441,693,300 × 5,298,441,693,300
  4. Step 4: Simplify right side
    3,329,847,327,552x = 28,073,484,377,299,770,580,926,464
  5. Step 5: Solve for x
    x = 28,073,484,377,299,770,580,926,464/3,329,847,327,552
  6. Step 6: Final answer
    x = 8,430,862,323,630.47

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Why These Related Problems?

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