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Finding the Third Proportional to 34,720,920 and 73,378,432

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Solution

The third proportional to 34,720,920 and 73,378,432 is: 155,076,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,720,920 : 73,378,432 = 73,378,432 : x
  2. Step 2: Convert to fraction form
    34,720,920/73,378,432 = 73,378,432/x
  3. Step 3: Cross multiply
    34,720,920x = 73,378,432 × 73,378,432
  4. Step 4: Simplify right side
    34,720,920x = 5,384,394,282,778,624
  5. Step 5: Solve for x
    x = 5,384,394,282,778,624/34,720,920
  6. Step 6: Final answer
    x = 155,076,371.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.