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Finding the Third Proportional to 40,476,705,512 and 60,476,972,214

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Solution

The third proportional to 40,476,705,512 and 60,476,972,214 is: 90,359,729,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,476,705,512 : 60,476,972,214 = 60,476,972,214 : x
  2. Step 2: Convert to fraction form
    40,476,705,512/60,476,972,214 = 60,476,972,214/x
  3. Step 3: Cross multiply
    40,476,705,512x = 60,476,972,214 × 60,476,972,214
  4. Step 4: Simplify right side
    40,476,705,512x = 3,657,464,168,172,928,106,496
  5. Step 5: Solve for x
    x = 3,657,464,168,172,928,106,496/40,476,705,512
  6. Step 6: Final answer
    x = 90,359,729,674.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.