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Finding the Third Proportional to 6,429,317.50 and 13,753,463

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Solution

The third proportional to 6,429,317.50 and 13,753,463 is: 29,421,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429,317.50 : 13,753,463 = 13,753,463 : x
  2. Step 2: Convert to fraction form
    6,429,317.50/13,753,463 = 13,753,463/x
  3. Step 3: Cross multiply
    6,429,317.50x = 13,753,463 × 13,753,463
  4. Step 4: Simplify right side
    6,429,317.50x = 189,157,744,492,369
  5. Step 5: Solve for x
    x = 189,157,744,492,369/6,429,317.50
  6. Step 6: Final answer
    x = 29,421,123.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.