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Finding the Third Proportional to 32,743,446 and 71,295,909

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Solution

The third proportional to 32,743,446 and 71,295,909 is: 155,240,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,743,446 : 71,295,909 = 71,295,909 : x
  2. Step 2: Convert to fraction form
    32,743,446/71,295,909 = 71,295,909/x
  3. Step 3: Cross multiply
    32,743,446x = 71,295,909 × 71,295,909
  4. Step 4: Simplify right side
    32,743,446x = 5,083,106,640,136,281
  5. Step 5: Solve for x
    x = 5,083,106,640,136,281/32,743,446
  6. Step 6: Final answer
    x = 155,240,430.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.