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Finding the Third Proportional to 38,280,723 and 84,001,566

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Solution

The third proportional to 38,280,723 and 84,001,566 is: 184,329,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280,723 : 84,001,566 = 84,001,566 : x
  2. Step 2: Convert to fraction form
    38,280,723/84,001,566 = 84,001,566/x
  3. Step 3: Cross multiply
    38,280,723x = 84,001,566 × 84,001,566
  4. Step 4: Simplify right side
    38,280,723x = 7,056,263,090,452,356
  5. Step 5: Solve for x
    x = 7,056,263,090,452,356/38,280,723
  6. Step 6: Final answer
    x = 184,329,410.14

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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.