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Finding the Third Proportional to 39,021,984 and 84,037,440

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Solution

The third proportional to 39,021,984 and 84,037,440 is: 180,982,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,021,984 : 84,037,440 = 84,037,440 : x
  2. Step 2: Convert to fraction form
    39,021,984/84,037,440 = 84,037,440/x
  3. Step 3: Cross multiply
    39,021,984x = 84,037,440 × 84,037,440
  4. Step 4: Simplify right side
    39,021,984x = 7,062,291,321,753,600
  5. Step 5: Solve for x
    x = 7,062,291,321,753,600/39,021,984
  6. Step 6: Final answer
    x = 180,982,374.49

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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.