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Finding the Third Proportional to 22,039,785 and 47,669,814

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Solution

The third proportional to 22,039,785 and 47,669,814 is: 103,104,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039,785 : 47,669,814 = 47,669,814 : x
  2. Step 2: Convert to fraction form
    22,039,785/47,669,814 = 47,669,814/x
  3. Step 3: Cross multiply
    22,039,785x = 47,669,814 × 47,669,814
  4. Step 4: Simplify right side
    22,039,785x = 2,272,411,166,794,596
  5. Step 5: Solve for x
    x = 2,272,411,166,794,596/22,039,785
  6. Step 6: Final answer
    x = 103,104,960.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.