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Finding the Third Proportional to 22,132,048,902 and 47,797,831,020

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Solution

The third proportional to 22,132,048,902 and 47,797,831,020 is: 103,227,345,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132,048,902 : 47,797,831,020 = 47,797,831,020 : x
  2. Step 2: Convert to fraction form
    22,132,048,902/47,797,831,020 = 47,797,831,020/x
  3. Step 3: Cross multiply
    22,132,048,902x = 47,797,831,020 × 47,797,831,020
  4. Step 4: Simplify right side
    22,132,048,902x = 2,284,632,650,216,474,148,864
  5. Step 5: Solve for x
    x = 2,284,632,650,216,474,148,864/22,132,048,902
  6. Step 6: Final answer
    x = 103,227,345,119.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.