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Finding the Third Proportional to 38,280,579 and 84,001,311

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Solution

The third proportional to 38,280,579 and 84,001,311 is: 184,328,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280,579 : 84,001,311 = 84,001,311 : x
  2. Step 2: Convert to fraction form
    38,280,579/84,001,311 = 84,001,311/x
  3. Step 3: Cross multiply
    38,280,579x = 84,001,311 × 84,001,311
  4. Step 4: Simplify right side
    38,280,579x = 7,056,220,249,718,721
  5. Step 5: Solve for x
    x = 7,056,220,249,718,721/38,280,579
  6. Step 6: Final answer
    x = 184,328,984.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.