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Finding the Third Proportional to 42,683,977 and 91,841,765

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Solution

The third proportional to 42,683,977 and 91,841,765 is: 197,613,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,683,977 : 91,841,765 = 91,841,765 : x
  2. Step 2: Convert to fraction form
    42,683,977/91,841,765 = 91,841,765/x
  3. Step 3: Cross multiply
    42,683,977x = 91,841,765 × 91,841,765
  4. Step 4: Simplify right side
    42,683,977x = 8,434,909,798,315,225
  5. Step 5: Solve for x
    x = 8,434,909,798,315,225/42,683,977
  6. Step 6: Final answer
    x = 197,613,024.63

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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.