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Finding the Third Proportional to 4,180,663.13 and 6,109,698.38

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Solution

The third proportional to 4,180,663.13 and 6,109,698.38 is: 8,928,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180,663.13 : 6,109,698.38 = 6,109,698.38 : x
  2. Step 2: Convert to fraction form
    4,180,663.13/6,109,698.38 = 6,109,698.38/x
  3. Step 3: Cross multiply
    4,180,663.13x = 6,109,698.38 × 6,109,698.38
  4. Step 4: Simplify right side
    4,180,663.13x = 37,328,414,233,477.64
  5. Step 5: Solve for x
    x = 37,328,414,233,477.64/4,180,663.13
  6. Step 6: Final answer
    x = 8,928,826.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.