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Finding the Third Proportional to 14,211,657 and 31,257,015

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Solution

The third proportional to 14,211,657 and 31,257,015 is: 68,746,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211,657 : 31,257,015 = 31,257,015 : x
  2. Step 2: Convert to fraction form
    14,211,657/31,257,015 = 31,257,015/x
  3. Step 3: Cross multiply
    14,211,657x = 31,257,015 × 31,257,015
  4. Step 4: Simplify right side
    14,211,657x = 977,000,986,710,225
  5. Step 5: Solve for x
    x = 977,000,986,710,225/14,211,657
  6. Step 6: Final answer
    x = 68,746,451.36

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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.