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Finding the Third Proportional to 6,152,770.13 and 13,412,638.13

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Solution

The third proportional to 6,152,770.13 and 13,412,638.13 is: 29,238,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152,770.13 : 13,412,638.13 = 13,412,638.13 : x
  2. Step 2: Convert to fraction form
    6,152,770.13/13,412,638.13 = 13,412,638.13/x
  3. Step 3: Cross multiply
    6,152,770.13x = 13,412,638.13 × 13,412,638.13
  4. Step 4: Simplify right side
    6,152,770.13x = 179,898,861,472,203.50
  5. Step 5: Solve for x
    x = 179,898,861,472,203.50/6,152,770.13
  6. Step 6: Final answer
    x = 29,238,677.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.