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Finding the Third Proportional to 6,385,102 and 14,187,381

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Solution

The third proportional to 6,385,102 and 14,187,381 is: 31,523,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,102 : 14,187,381 = 14,187,381 : x
  2. Step 2: Convert to fraction form
    6,385,102/14,187,381 = 14,187,381/x
  3. Step 3: Cross multiply
    6,385,102x = 14,187,381 × 14,187,381
  4. Step 4: Simplify right side
    6,385,102x = 201,281,779,639,161
  5. Step 5: Solve for x
    x = 201,281,779,639,161/6,385,102
  6. Step 6: Final answer
    x = 31,523,659.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.