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Finding the Third Proportional to 14,621,624 and 31,681,431

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Solution

The third proportional to 14,621,624 and 31,681,431 is: 68,645,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,621,624 : 31,681,431 = 31,681,431 : x
  2. Step 2: Convert to fraction form
    14,621,624/31,681,431 = 31,681,431/x
  3. Step 3: Cross multiply
    14,621,624x = 31,681,431 × 31,681,431
  4. Step 4: Simplify right side
    14,621,624x = 1,003,713,070,207,761
  5. Step 5: Solve for x
    x = 1,003,713,070,207,761/14,621,624
  6. Step 6: Final answer
    x = 68,645,799.55

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