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Finding the Third Proportional to 70,902,522,742 and 153,125,759,925

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Solution

The third proportional to 70,902,522,742 and 153,125,759,925 is: 330,700,480,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902,522,742 : 153,125,759,925 = 153,125,759,925 : x
  2. Step 2: Convert to fraction form
    70,902,522,742/153,125,759,925 = 153,125,759,925/x
  3. Step 3: Cross multiply
    70,902,522,742x = 153,125,759,925 × 153,125,759,925
  4. Step 4: Simplify right side
    70,902,522,742x = 23,447,498,352,608,734,609,408
  5. Step 5: Solve for x
    x = 23,447,498,352,608,734,609,408/70,902,522,742
  6. Step 6: Final answer
    x = 330,700,480,685.71

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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.