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Finding the Third Proportional to 3,897,480,904.50 and 9,094,436,392.50

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Solution

The third proportional to 3,897,480,904.50 and 9,094,436,392.50 is: 21,221,084,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,480,904.50 : 9,094,436,392.50 = 9,094,436,392.50 : x
  2. Step 2: Convert to fraction form
    3,897,480,904.50/9,094,436,392.50 = 9,094,436,392.50/x
  3. Step 3: Cross multiply
    3,897,480,904.50x = 9,094,436,392.50 × 9,094,436,392.50
  4. Step 4: Simplify right side
    3,897,480,904.50x = 82,708,773,297,228,414,976
  5. Step 5: Solve for x
    x = 82,708,773,297,228,414,976/3,897,480,904.50
  6. Step 6: Final answer
    x = 21,221,084,932.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.