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Finding the Third Proportional to 7,746,096 and 17,020,920

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Solution

The third proportional to 7,746,096 and 17,020,920 is: 37,400,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746,096 : 17,020,920 = 17,020,920 : x
  2. Step 2: Convert to fraction form
    7,746,096/17,020,920 = 17,020,920/x
  3. Step 3: Cross multiply
    7,746,096x = 17,020,920 × 17,020,920
  4. Step 4: Simplify right side
    7,746,096x = 289,711,717,646,400
  5. Step 5: Solve for x
    x = 289,711,717,646,400/7,746,096
  6. Step 6: Final answer
    x = 37,400,997.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.