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Finding the Third Proportional to 61,543,425.38 and 97,452,401.06

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Solution

The third proportional to 61,543,425.38 and 97,452,401.06 is: 154,313,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,543,425.38 : 97,452,401.06 = 97,452,401.06 : x
  2. Step 2: Convert to fraction form
    61,543,425.38/97,452,401.06 = 97,452,401.06/x
  3. Step 3: Cross multiply
    61,543,425.38x = 97,452,401.06 × 97,452,401.06
  4. Step 4: Simplify right side
    61,543,425.38x = 9,496,970,472,846,352
  5. Step 5: Solve for x
    x = 9,496,970,472,846,352/61,543,425.38
  6. Step 6: Final answer
    x = 154,313,322.91

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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.