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Finding the Third Proportional to 14,621,744 and 31,681,657

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Solution

The third proportional to 14,621,744 and 31,681,657 is: 68,646,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,621,744 : 31,681,657 = 31,681,657 : x
  2. Step 2: Convert to fraction form
    14,621,744/31,681,657 = 31,681,657/x
  3. Step 3: Cross multiply
    14,621,744x = 31,681,657 × 31,681,657
  4. Step 4: Simplify right side
    14,621,744x = 1,003,727,390,265,649
  5. Step 5: Solve for x
    x = 1,003,727,390,265,649/14,621,744
  6. Step 6: Final answer
    x = 68,646,215.54

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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.