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Finding the Third Proportional to 125,847,089,396 and 269,644,661,368

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Solution

The third proportional to 125,847,089,396 and 269,644,661,368 is: 577,750,695,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,847,089,396 : 269,644,661,368 = 269,644,661,368 : x
  2. Step 2: Convert to fraction form
    125,847,089,396/269,644,661,368 = 269,644,661,368/x
  3. Step 3: Cross multiply
    125,847,089,396x = 269,644,661,368 × 269,644,661,368
  4. Step 4: Simplify right side
    125,847,089,396x = 72,708,243,404,263,394,377,728
  5. Step 5: Solve for x
    x = 72,708,243,404,263,394,377,728/125,847,089,396
  6. Step 6: Final answer
    x = 577,750,695,333.72

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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.