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Finding the Third Proportional to 70,902,522,744 and 153,125,759,929

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Solution

The third proportional to 70,902,522,744 and 153,125,759,929 is: 330,700,480,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902,522,744 : 153,125,759,929 = 153,125,759,929 : x
  2. Step 2: Convert to fraction form
    70,902,522,744/153,125,759,929 = 153,125,759,929/x
  3. Step 3: Cross multiply
    70,902,522,744x = 153,125,759,929 × 153,125,759,929
  4. Step 4: Simplify right side
    70,902,522,744x = 23,447,498,353,833,744,007,168
  5. Step 5: Solve for x
    x = 23,447,498,353,833,744,007,168/70,902,522,744
  6. Step 6: Final answer
    x = 330,700,480,693.66

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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.