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Finding the Third Proportional to 24,365,160 and 54,176,814

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Solution

The third proportional to 24,365,160 and 54,176,814 is: 120,464,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365,160 : 54,176,814 = 54,176,814 : x
  2. Step 2: Convert to fraction form
    24,365,160/54,176,814 = 54,176,814/x
  3. Step 3: Cross multiply
    24,365,160x = 54,176,814 × 54,176,814
  4. Step 4: Simplify right side
    24,365,160x = 2,935,127,175,190,596
  5. Step 5: Solve for x
    x = 2,935,127,175,190,596/24,365,160
  6. Step 6: Final answer
    x = 120,464,104.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.