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Finding the Third Proportional to 125,847,903,864 and 269,646,272,160

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Solution

The third proportional to 125,847,903,864 and 269,646,272,160 is: 577,753,858,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,847,903,864 : 269,646,272,160 = 269,646,272,160 : x
  2. Step 2: Convert to fraction form
    125,847,903,864/269,646,272,160 = 269,646,272,160/x
  3. Step 3: Cross multiply
    125,847,903,864x = 269,646,272,160 × 269,646,272,160
  4. Step 4: Simplify right side
    125,847,903,864x = 72,709,112,089,784,793,169,920
  5. Step 5: Solve for x
    x = 72,709,112,089,784,793,169,920/125,847,903,864
  6. Step 6: Final answer
    x = 577,753,858,883.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.