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Finding the Third Proportional to 32,823,192 and 71,425,896

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Solution

The third proportional to 32,823,192 and 71,425,896 is: 155,428,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823,192 : 71,425,896 = 71,425,896 : x
  2. Step 2: Convert to fraction form
    32,823,192/71,425,896 = 71,425,896/x
  3. Step 3: Cross multiply
    32,823,192x = 71,425,896 × 71,425,896
  4. Step 4: Simplify right side
    32,823,192x = 5,101,658,619,402,816
  5. Step 5: Solve for x
    x = 5,101,658,619,402,816/32,823,192
  6. Step 6: Final answer
    x = 155,428,473.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.