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Finding the Third Proportional to 5,387,293,406,904 and 11,722,967,711,472

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Solution

The third proportional to 5,387,293,406,904 and 11,722,967,711,472 is: 25,509,650,502,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387,293,406,904 : 11,722,967,711,472 = 11,722,967,711,472 : x
  2. Step 2: Convert to fraction form
    5,387,293,406,904/11,722,967,711,472 = 11,722,967,711,472/x
  3. Step 3: Cross multiply
    5,387,293,406,904x = 11,722,967,711,472 × 11,722,967,711,472
  4. Step 4: Simplify right side
    5,387,293,406,904x = 137,427,971,964,215,066,701,594,624
  5. Step 5: Solve for x
    x = 137,427,971,964,215,066,701,594,624/5,387,293,406,904
  6. Step 6: Final answer
    x = 25,509,650,502,439.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.