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Finding the Third Proportional to 4,128,346.13 and 6,376,591.69

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Solution

The third proportional to 4,128,346.13 and 6,376,591.69 is: 9,849,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128,346.13 : 6,376,591.69 = 6,376,591.69 : x
  2. Step 2: Convert to fraction form
    4,128,346.13/6,376,591.69 = 6,376,591.69/x
  3. Step 3: Cross multiply
    4,128,346.13x = 6,376,591.69 × 6,376,591.69
  4. Step 4: Simplify right side
    4,128,346.13x = 40,660,921,549,094.09
  5. Step 5: Solve for x
    x = 40,660,921,549,094.09/4,128,346.13
  6. Step 6: Final answer
    x = 9,849,203.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.