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Finding the Third Proportional to 10,686,089 and 25,199,811

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Solution

The third proportional to 10,686,089 and 25,199,811 is: 59,425,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686,089 : 25,199,811 = 25,199,811 : x
  2. Step 2: Convert to fraction form
    10,686,089/25,199,811 = 25,199,811/x
  3. Step 3: Cross multiply
    10,686,089x = 25,199,811 × 25,199,811
  4. Step 4: Simplify right side
    10,686,089x = 635,030,474,435,721
  5. Step 5: Solve for x
    x = 635,030,474,435,721/10,686,089
  6. Step 6: Final answer
    x = 59,425,901.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.