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Finding the Third Proportional to 61,542,985 and 97,451,741

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Solution

The third proportional to 61,542,985 and 97,451,741 is: 154,312,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542,985 : 97,451,741 = 97,451,741 : x
  2. Step 2: Convert to fraction form
    61,542,985/97,451,741 = 97,451,741/x
  3. Step 3: Cross multiply
    61,542,985x = 97,451,741 × 97,451,741
  4. Step 4: Simplify right side
    61,542,985x = 9,496,841,823,931,080
  5. Step 5: Solve for x
    x = 9,496,841,823,931,080/61,542,985
  6. Step 6: Final answer
    x = 154,312,336.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.