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Finding the Third Proportional to 60,511,670,251 and 90,433,992,614

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Solution

The third proportional to 60,511,670,251 and 90,433,992,614 is: 135,152,557,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,511,670,251 : 90,433,992,614 = 90,433,992,614 : x
  2. Step 2: Convert to fraction form
    60,511,670,251/90,433,992,614 = 90,433,992,614/x
  3. Step 3: Cross multiply
    60,511,670,251x = 90,433,992,614 × 90,433,992,614
  4. Step 4: Simplify right side
    60,511,670,251x = 8,178,307,020,109,006,241,792
  5. Step 5: Solve for x
    x = 8,178,307,020,109,006,241,792/60,511,670,251
  6. Step 6: Final answer
    x = 135,152,557,947.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.