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Finding the Third Proportional to 32,970,669.75 and 48,467,116.13

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Solution

The third proportional to 32,970,669.75 and 48,467,116.13 is: 71,247,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970,669.75 : 48,467,116.13 = 48,467,116.13 : x
  2. Step 2: Convert to fraction form
    32,970,669.75/48,467,116.13 = 48,467,116.13/x
  3. Step 3: Cross multiply
    32,970,669.75x = 48,467,116.13 × 48,467,116.13
  4. Step 4: Simplify right side
    32,970,669.75x = 2,349,061,345,474,235
  5. Step 5: Solve for x
    x = 2,349,061,345,474,235/32,970,669.75
  6. Step 6: Final answer
    x = 71,247,001.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.