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Finding the Third Proportional to 13,700,749 and 29,813,372

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Solution

The third proportional to 13,700,749 and 29,813,372 is: 64,875,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700,749 : 29,813,372 = 29,813,372 : x
  2. Step 2: Convert to fraction form
    13,700,749/29,813,372 = 29,813,372/x
  3. Step 3: Cross multiply
    13,700,749x = 29,813,372 × 29,813,372
  4. Step 4: Simplify right side
    13,700,749x = 888,837,150,010,384
  5. Step 5: Solve for x
    x = 888,837,150,010,384/13,700,749
  6. Step 6: Final answer
    x = 64,875,077.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.