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Finding the Third Proportional to 10,418,509.13 and 11,664,073.13

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Solution

The third proportional to 10,418,509.13 and 11,664,073.13 is: 13,058,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418,509.13 : 11,664,073.13 = 11,664,073.13 : x
  2. Step 2: Convert to fraction form
    10,418,509.13/11,664,073.13 = 11,664,073.13/x
  3. Step 3: Cross multiply
    10,418,509.13x = 11,664,073.13 × 11,664,073.13
  4. Step 4: Simplify right side
    10,418,509.13x = 136,050,601,865,347.27
  5. Step 5: Solve for x
    x = 136,050,601,865,347.27/10,418,509.13
  6. Step 6: Final answer
    x = 13,058,548.04

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.