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Finding the Third Proportional to 32,465,767.16 and 71,424,608.66

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Solution

The third proportional to 32,465,767.16 and 71,424,608.66 is: 157,133,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465,767.16 : 71,424,608.66 = 71,424,608.66 : x
  2. Step 2: Convert to fraction form
    32,465,767.16/71,424,608.66 = 71,424,608.66/x
  3. Step 3: Cross multiply
    32,465,767.16x = 71,424,608.66 × 71,424,608.66
  4. Step 4: Simplify right side
    32,465,767.16x = 5,101,474,721,698,462
  5. Step 5: Solve for x
    x = 5,101,474,721,698,462/32,465,767.16
  6. Step 6: Final answer
    x = 157,133,965.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.