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Finding the Third Proportional to 32,795,901 and 71,769,834

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Solution

The third proportional to 32,795,901 and 71,769,834 is: 157,059,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,795,901 : 71,769,834 = 71,769,834 : x
  2. Step 2: Convert to fraction form
    32,795,901/71,769,834 = 71,769,834/x
  3. Step 3: Cross multiply
    32,795,901x = 71,769,834 × 71,769,834
  4. Step 4: Simplify right side
    32,795,901x = 5,150,909,072,387,556
  5. Step 5: Solve for x
    x = 5,150,909,072,387,556/32,795,901
  6. Step 6: Final answer
    x = 157,059,538.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.