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Finding the Third Proportional to 13,847,581.13 and 32,054,646.38

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Solution

The third proportional to 13,847,581.13 and 32,054,646.38 is: 74,200,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847,581.13 : 32,054,646.38 = 32,054,646.38 : x
  2. Step 2: Convert to fraction form
    13,847,581.13/32,054,646.38 = 32,054,646.38/x
  3. Step 3: Cross multiply
    13,847,581.13x = 32,054,646.38 × 32,054,646.38
  4. Step 4: Simplify right side
    13,847,581.13x = 1,027,500,354,226,300.62
  5. Step 5: Solve for x
    x = 1,027,500,354,226,300.62/13,847,581.13
  6. Step 6: Final answer
    x = 74,200,710.21

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.