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Finding the Third Proportional to 14,211,656 and 31,257,014

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Solution

The third proportional to 14,211,656 and 31,257,014 is: 68,746,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211,656 : 31,257,014 = 31,257,014 : x
  2. Step 2: Convert to fraction form
    14,211,656/31,257,014 = 31,257,014/x
  3. Step 3: Cross multiply
    14,211,656x = 31,257,014 × 31,257,014
  4. Step 4: Simplify right side
    14,211,656x = 977,000,924,196,196
  5. Step 5: Solve for x
    x = 977,000,924,196,196/14,211,656
  6. Step 6: Final answer
    x = 68,746,451.80

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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.