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Finding the Third Proportional to 33,124,311 and 72,389,718

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Solution

The third proportional to 33,124,311 and 72,389,718 is: 158,200,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,124,311 : 72,389,718 = 72,389,718 : x
  2. Step 2: Convert to fraction form
    33,124,311/72,389,718 = 72,389,718/x
  3. Step 3: Cross multiply
    33,124,311x = 72,389,718 × 72,389,718
  4. Step 4: Simplify right side
    33,124,311x = 5,240,271,272,119,524
  5. Step 5: Solve for x
    x = 5,240,271,272,119,524/33,124,311
  6. Step 6: Final answer
    x = 158,200,159.16

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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.