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Finding the Third Proportional to 33,246,342,918 and 51,522,677,829

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Solution

The third proportional to 33,246,342,918 and 51,522,677,829 is: 79,845,964,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246,342,918 : 51,522,677,829 = 51,522,677,829 : x
  2. Step 2: Convert to fraction form
    33,246,342,918/51,522,677,829 = 51,522,677,829/x
  3. Step 3: Cross multiply
    33,246,342,918x = 51,522,677,829 × 51,522,677,829
  4. Step 4: Simplify right side
    33,246,342,918x = 2,654,586,330,670,928,232,448
  5. Step 5: Solve for x
    x = 2,654,586,330,670,928,232,448/33,246,342,918
  6. Step 6: Final answer
    x = 79,845,964,929.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.