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Finding the Third Proportional to 42,683,975.75 and 91,841,761

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Solution

The third proportional to 42,683,975.75 and 91,841,761 is: 197,613,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,683,975.75 : 91,841,761 = 91,841,761 : x
  2. Step 2: Convert to fraction form
    42,683,975.75/91,841,761 = 91,841,761/x
  3. Step 3: Cross multiply
    42,683,975.75x = 91,841,761 × 91,841,761
  4. Step 4: Simplify right side
    42,683,975.75x = 8,434,909,063,581,121
  5. Step 5: Solve for x
    x = 8,434,909,063,581,121/42,683,975.75
  6. Step 6: Final answer
    x = 197,613,013.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.