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Finding the Third Proportional to 27,721,680 and 42,665,064

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Solution

The third proportional to 27,721,680 and 42,665,064 is: 65,663,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,721,680 : 42,665,064 = 42,665,064 : x
  2. Step 2: Convert to fraction form
    27,721,680/42,665,064 = 42,665,064/x
  3. Step 3: Cross multiply
    27,721,680x = 42,665,064 × 42,665,064
  4. Step 4: Simplify right side
    27,721,680x = 1,820,307,686,124,096
  5. Step 5: Solve for x
    x = 1,820,307,686,124,096/27,721,680
  6. Step 6: Final answer
    x = 65,663,685.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.