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Finding the Third Proportional to 9,700,765.88 and 15,217,662.38

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Solution

The third proportional to 9,700,765.88 and 15,217,662.38 is: 23,872,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,765.88 : 15,217,662.38 = 15,217,662.38 : x
  2. Step 2: Convert to fraction form
    9,700,765.88/15,217,662.38 = 15,217,662.38/x
  3. Step 3: Cross multiply
    9,700,765.88x = 15,217,662.38 × 15,217,662.38
  4. Step 4: Simplify right side
    9,700,765.88x = 231,577,248,159,490.62
  5. Step 5: Solve for x
    x = 231,577,248,159,490.62/9,700,765.88
  6. Step 6: Final answer
    x = 23,872,058.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.