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Finding the Third Proportional to 13,741,466 and 29,850,724

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Solution

The third proportional to 13,741,466 and 29,850,724 is: 64,845,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741,466 : 29,850,724 = 29,850,724 : x
  2. Step 2: Convert to fraction form
    13,741,466/29,850,724 = 29,850,724/x
  3. Step 3: Cross multiply
    13,741,466x = 29,850,724 × 29,850,724
  4. Step 4: Simplify right side
    13,741,466x = 891,065,723,324,176
  5. Step 5: Solve for x
    x = 891,065,723,324,176/13,741,466
  6. Step 6: Final answer
    x = 64,845,026.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.