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Finding the Third Proportional to 38,280,735 and 84,001,590

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Solution

The third proportional to 38,280,735 and 84,001,590 is: 184,329,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280,735 : 84,001,590 = 84,001,590 : x
  2. Step 2: Convert to fraction form
    38,280,735/84,001,590 = 84,001,590/x
  3. Step 3: Cross multiply
    38,280,735x = 84,001,590 × 84,001,590
  4. Step 4: Simplify right side
    38,280,735x = 7,056,267,122,528,100
  5. Step 5: Solve for x
    x = 7,056,267,122,528,100/38,280,735
  6. Step 6: Final answer
    x = 184,329,457.69

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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.