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Finding the Third Proportional to 6,254,464 and 13,704,671

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Solution

The third proportional to 6,254,464 and 13,704,671 is: 30,029,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254,464 : 13,704,671 = 13,704,671 : x
  2. Step 2: Convert to fraction form
    6,254,464/13,704,671 = 13,704,671/x
  3. Step 3: Cross multiply
    6,254,464x = 13,704,671 × 13,704,671
  4. Step 4: Simplify right side
    6,254,464x = 187,818,007,218,241
  5. Step 5: Solve for x
    x = 187,818,007,218,241/6,254,464
  6. Step 6: Final answer
    x = 30,029,432.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.