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Finding the Third Proportional to 13,677,444 and 29,624,581

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Solution

The third proportional to 13,677,444 and 29,624,581 is: 64,165,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677,444 : 29,624,581 = 29,624,581 : x
  2. Step 2: Convert to fraction form
    13,677,444/29,624,581 = 29,624,581/x
  3. Step 3: Cross multiply
    13,677,444x = 29,624,581 × 29,624,581
  4. Step 4: Simplify right side
    13,677,444x = 877,615,799,425,561
  5. Step 5: Solve for x
    x = 877,615,799,425,561/13,677,444
  6. Step 6: Final answer
    x = 64,165,190.47

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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.