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Finding the Third Proportional to 5,387,293,407,050 and 11,722,967,711,740

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Solution

The third proportional to 5,387,293,407,050 and 11,722,967,711,740 is: 25,509,650,502,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387,293,407,050 : 11,722,967,711,740 = 11,722,967,711,740 : x
  2. Step 2: Convert to fraction form
    5,387,293,407,050/11,722,967,711,740 = 11,722,967,711,740/x
  3. Step 3: Cross multiply
    5,387,293,407,050x = 11,722,967,711,740 × 11,722,967,711,740
  4. Step 4: Simplify right side
    5,387,293,407,050x = 137,427,971,970,498,569,495,904,256
  5. Step 5: Solve for x
    x = 137,427,971,970,498,569,495,904,256/5,387,293,407,050
  6. Step 6: Final answer
    x = 25,509,650,502,914.05

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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.