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Finding the Third Proportional to 4,723,011 and 9,782,091

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Solution

The third proportional to 4,723,011 and 9,782,091 is: 20,260,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,011 : 9,782,091 = 9,782,091 : x
  2. Step 2: Convert to fraction form
    4,723,011/9,782,091 = 9,782,091/x
  3. Step 3: Cross multiply
    4,723,011x = 9,782,091 × 9,782,091
  4. Step 4: Simplify right side
    4,723,011x = 95,689,304,332,281
  5. Step 5: Solve for x
    x = 95,689,304,332,281/4,723,011
  6. Step 6: Final answer
    x = 20,260,233.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.