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Finding the Third Proportional to 61,542,980 and 97,451,733

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Solution

The third proportional to 61,542,980 and 97,451,733 is: 154,312,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542,980 : 97,451,733 = 97,451,733 : x
  2. Step 2: Convert to fraction form
    61,542,980/97,451,733 = 97,451,733/x
  3. Step 3: Cross multiply
    61,542,980x = 97,451,733 × 97,451,733
  4. Step 4: Simplify right side
    61,542,980x = 9,496,840,264,703,288
  5. Step 5: Solve for x
    x = 9,496,840,264,703,288/61,542,980
  6. Step 6: Final answer
    x = 154,312,323.92

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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.