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Finding the Third Proportional to 81,455,262,972 and 175,359,426,300

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Solution

The third proportional to 81,455,262,972 and 175,359,426,300 is: 377,519,232,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,455,262,972 : 175,359,426,300 = 175,359,426,300 : x
  2. Step 2: Convert to fraction form
    81,455,262,972/175,359,426,300 = 175,359,426,300/x
  3. Step 3: Cross multiply
    81,455,262,972x = 175,359,426,300 × 175,359,426,300
  4. Step 4: Simplify right side
    81,455,262,972x = 30,750,928,392,265,129,787,392
  5. Step 5: Solve for x
    x = 30,750,928,392,265,129,787,392/81,455,262,972
  6. Step 6: Final answer
    x = 377,519,232,892.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.