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Finding the Third Proportional to 6,309,264 and 13,695,315

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Solution

The third proportional to 6,309,264 and 13,695,315 is: 29,727,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,264 : 13,695,315 = 13,695,315 : x
  2. Step 2: Convert to fraction form
    6,309,264/13,695,315 = 13,695,315/x
  3. Step 3: Cross multiply
    6,309,264x = 13,695,315 × 13,695,315
  4. Step 4: Simplify right side
    6,309,264x = 187,561,652,949,225
  5. Step 5: Solve for x
    x = 187,561,652,949,225/6,309,264
  6. Step 6: Final answer
    x = 29,727,976.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.