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Finding the Third Proportional to 32,824,207.13 and 75,982,196.81

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Solution

The third proportional to 32,824,207.13 and 75,982,196.81 is: 175,885,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824,207.13 : 75,982,196.81 = 75,982,196.81 : x
  2. Step 2: Convert to fraction form
    32,824,207.13/75,982,196.81 = 75,982,196.81/x
  3. Step 3: Cross multiply
    32,824,207.13x = 75,982,196.81 × 75,982,196.81
  4. Step 4: Simplify right side
    32,824,207.13x = 5,773,294,232,453,485
  5. Step 5: Solve for x
    x = 5,773,294,232,453,485/32,824,207.13
  6. Step 6: Final answer
    x = 175,885,260.85

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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.