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Finding the Third Proportional to 5,397,000.47 and 11,690,807.63

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Solution

The third proportional to 5,397,000.47 and 11,690,807.63 is: 25,324,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397,000.47 : 11,690,807.63 = 11,690,807.63 : x
  2. Step 2: Convert to fraction form
    5,397,000.47/11,690,807.63 = 11,690,807.63/x
  3. Step 3: Cross multiply
    5,397,000.47x = 11,690,807.63 × 11,690,807.63
  4. Step 4: Simplify right side
    5,397,000.47x = 136,674,982,924,758.14
  5. Step 5: Solve for x
    x = 136,674,982,924,758.14/5,397,000.47
  6. Step 6: Final answer
    x = 25,324,248.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.