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Finding the Third Proportional to 5,143,165.88 and 7,005,234.38

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Solution

The third proportional to 5,143,165.88 and 7,005,234.38 is: 9,541,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143,165.88 : 7,005,234.38 = 7,005,234.38 : x
  2. Step 2: Convert to fraction form
    5,143,165.88/7,005,234.38 = 7,005,234.38/x
  3. Step 3: Cross multiply
    5,143,165.88x = 7,005,234.38 × 7,005,234.38
  4. Step 4: Simplify right side
    5,143,165.88x = 49,073,308,648,681.64
  5. Step 5: Solve for x
    x = 49,073,308,648,681.64/5,143,165.88
  6. Step 6: Final answer
    x = 9,541,459.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.