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Finding the Third Proportional to 3,617,470.13 and 5,758,305.19

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Solution

The third proportional to 3,617,470.13 and 5,758,305.19 is: 9,166,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,470.13 : 5,758,305.19 = 5,758,305.19 : x
  2. Step 2: Convert to fraction form
    3,617,470.13/5,758,305.19 = 5,758,305.19/x
  3. Step 3: Cross multiply
    3,617,470.13x = 5,758,305.19 × 5,758,305.19
  4. Step 4: Simplify right side
    3,617,470.13x = 33,158,078,632,389.41
  5. Step 5: Solve for x
    x = 33,158,078,632,389.41/3,617,470.13
  6. Step 6: Final answer
    x = 9,166,096.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.