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Finding the Third Proportional to 15,226,454,862 and 23,277,322,864

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Solution

The third proportional to 15,226,454,862 and 23,277,322,864 is: 35,585,023,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226,454,862 : 23,277,322,864 = 23,277,322,864 : x
  2. Step 2: Convert to fraction form
    15,226,454,862/23,277,322,864 = 23,277,322,864/x
  3. Step 3: Cross multiply
    15,226,454,862x = 23,277,322,864 × 23,277,322,864
  4. Step 4: Simplify right side
    15,226,454,862x = 541,833,759,714,897,166,336
  5. Step 5: Solve for x
    x = 541,833,759,714,897,166,336/15,226,454,862
  6. Step 6: Final answer
    x = 35,585,023,869.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.