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Finding the Third Proportional to 14,211,657 and 31,257,016

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Solution

The third proportional to 14,211,657 and 31,257,016 is: 68,746,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211,657 : 31,257,016 = 31,257,016 : x
  2. Step 2: Convert to fraction form
    14,211,657/31,257,016 = 31,257,016/x
  3. Step 3: Cross multiply
    14,211,657x = 31,257,016 × 31,257,016
  4. Step 4: Simplify right side
    14,211,657x = 977,001,049,224,256
  5. Step 5: Solve for x
    x = 977,001,049,224,256/14,211,657
  6. Step 6: Final answer
    x = 68,746,455.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.