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Finding the Third Proportional to 10,522,102 and 24,584,377

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Solution

The third proportional to 10,522,102 and 24,584,377 is: 57,440,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522,102 : 24,584,377 = 24,584,377 : x
  2. Step 2: Convert to fraction form
    10,522,102/24,584,377 = 24,584,377/x
  3. Step 3: Cross multiply
    10,522,102x = 24,584,377 × 24,584,377
  4. Step 4: Simplify right side
    10,522,102x = 604,391,592,478,129
  5. Step 5: Solve for x
    x = 604,391,592,478,129/10,522,102
  6. Step 6: Final answer
    x = 57,440,195.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.