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Finding the Third Proportional to 61,543,405.13 and 97,452,370.69

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Solution

The third proportional to 61,543,405.13 and 97,452,370.69 is: 154,313,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,543,405.13 : 97,452,370.69 = 97,452,370.69 : x
  2. Step 2: Convert to fraction form
    61,543,405.13/97,452,370.69 = 97,452,370.69/x
  3. Step 3: Cross multiply
    61,543,405.13x = 97,452,370.69 × 97,452,370.69
  4. Step 4: Simplify right side
    61,543,405.13x = 9,496,964,552,613,910
  5. Step 5: Solve for x
    x = 9,496,964,552,613,910/61,543,405.13
  6. Step 6: Final answer
    x = 154,313,277.49

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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.