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Finding the Third Proportional to 4,177,199,450 and 6,265,799,920

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Solution

The third proportional to 4,177,199,450 and 6,265,799,920 is: 9,398,700,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177,199,450 : 6,265,799,920 = 6,265,799,920 : x
  2. Step 2: Convert to fraction form
    4,177,199,450/6,265,799,920 = 6,265,799,920/x
  3. Step 3: Cross multiply
    4,177,199,450x = 6,265,799,920 × 6,265,799,920
  4. Step 4: Simplify right side
    4,177,199,450x = 39,260,248,637,472,006,144
  5. Step 5: Solve for x
    x = 39,260,248,637,472,006,144/4,177,199,450
  6. Step 6: Final answer
    x = 9,398,700,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.