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Finding the Third Proportional to 39,947,076 and 85,961,438

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Solution

The third proportional to 39,947,076 and 85,961,438 is: 184,978,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,947,076 : 85,961,438 = 85,961,438 : x
  2. Step 2: Convert to fraction form
    39,947,076/85,961,438 = 85,961,438/x
  3. Step 3: Cross multiply
    39,947,076x = 85,961,438 × 85,961,438
  4. Step 4: Simplify right side
    39,947,076x = 7,389,368,823,027,844
  5. Step 5: Solve for x
    x = 7,389,368,823,027,844/39,947,076
  6. Step 6: Final answer
    x = 184,978,966.25

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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.