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Finding the Third Proportional to 14,211,661 and 31,257,023

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Solution

The third proportional to 14,211,661 and 31,257,023 is: 68,746,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211,661 : 31,257,023 = 31,257,023 : x
  2. Step 2: Convert to fraction form
    14,211,661/31,257,023 = 31,257,023/x
  3. Step 3: Cross multiply
    14,211,661x = 31,257,023 × 31,257,023
  4. Step 4: Simplify right side
    14,211,661x = 977,001,486,822,529
  5. Step 5: Solve for x
    x = 977,001,486,822,529/14,211,661
  6. Step 6: Final answer
    x = 68,746,467.20

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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.