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Finding the Third Proportional to 4,206,170.13 and 9,130,197.89

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Solution

The third proportional to 4,206,170.13 and 9,130,197.89 is: 19,818,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,170.13 : 9,130,197.89 = 9,130,197.89 : x
  2. Step 2: Convert to fraction form
    4,206,170.13/9,130,197.89 = 9,130,197.89/x
  3. Step 3: Cross multiply
    4,206,170.13x = 9,130,197.89 × 9,130,197.89
  4. Step 4: Simplify right side
    4,206,170.13x = 83,360,513,521,973.20
  5. Step 5: Solve for x
    x = 83,360,513,521,973.20/4,206,170.13
  6. Step 6: Final answer
    x = 19,818,626.22

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