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Finding the Third Proportional to 13,417,503 and 29,470,914

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Solution

The third proportional to 13,417,503 and 29,470,914 is: 64,731,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417,503 : 29,470,914 = 29,470,914 : x
  2. Step 2: Convert to fraction form
    13,417,503/29,470,914 = 29,470,914/x
  3. Step 3: Cross multiply
    13,417,503x = 29,470,914 × 29,470,914
  4. Step 4: Simplify right side
    13,417,503x = 868,534,771,995,396
  5. Step 5: Solve for x
    x = 868,534,771,995,396/13,417,503
  6. Step 6: Final answer
    x = 64,731,475.89

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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.