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Finding the Third Proportional to 2,281,794,480 and 5,001,023,952

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Solution

The third proportional to 2,281,794,480 and 5,001,023,952 is: 10,960,777,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,794,480 : 5,001,023,952 = 5,001,023,952 : x
  2. Step 2: Convert to fraction form
    2,281,794,480/5,001,023,952 = 5,001,023,952/x
  3. Step 3: Cross multiply
    2,281,794,480x = 5,001,023,952 × 5,001,023,952
  4. Step 4: Simplify right side
    2,281,794,480x = 25,010,240,568,477,700,096
  5. Step 5: Solve for x
    x = 25,010,240,568,477,700,096/2,281,794,480
  6. Step 6: Final answer
    x = 10,960,777,049.68

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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.