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Finding the Third Proportional to 14,374,926 and 31,175,235

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Solution

The third proportional to 14,374,926 and 31,175,235 is: 67,610,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374,926 : 31,175,235 = 31,175,235 : x
  2. Step 2: Convert to fraction form
    14,374,926/31,175,235 = 31,175,235/x
  3. Step 3: Cross multiply
    14,374,926x = 31,175,235 × 31,175,235
  4. Step 4: Simplify right side
    14,374,926x = 971,895,277,305,225
  5. Step 5: Solve for x
    x = 971,895,277,305,225/14,374,926
  6. Step 6: Final answer
    x = 67,610,454.29

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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.