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Finding the Third Proportional to 24,287,661 and 57,334,905

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Solution

The third proportional to 24,287,661 and 57,334,905 is: 135,348,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287,661 : 57,334,905 = 57,334,905 : x
  2. Step 2: Convert to fraction form
    24,287,661/57,334,905 = 57,334,905/x
  3. Step 3: Cross multiply
    24,287,661x = 57,334,905 × 57,334,905
  4. Step 4: Simplify right side
    24,287,661x = 3,287,291,331,359,025
  5. Step 5: Solve for x
    x = 3,287,291,331,359,025/24,287,661
  6. Step 6: Final answer
    x = 135,348,205.47

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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.