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Finding the Third Proportional to 61,334,984,878 and 94,218,046,523

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Solution

The third proportional to 61,334,984,878 and 94,218,046,523 is: 144,730,455,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,334,984,878 : 94,218,046,523 = 94,218,046,523 : x
  2. Step 2: Convert to fraction form
    61,334,984,878/94,218,046,523 = 94,218,046,523/x
  3. Step 3: Cross multiply
    61,334,984,878x = 94,218,046,523 × 94,218,046,523
  4. Step 4: Simplify right side
    61,334,984,878x = 8,877,040,290,610,192,318,464
  5. Step 5: Solve for x
    x = 8,877,040,290,610,192,318,464/61,334,984,878
  6. Step 6: Final answer
    x = 144,730,455,355.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.