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Finding the Third Proportional to 81,447,922 and 175,648,340

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Solution

The third proportional to 81,447,922 and 175,648,340 is: 378,798,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,447,922 : 175,648,340 = 175,648,340 : x
  2. Step 2: Convert to fraction form
    81,447,922/175,648,340 = 175,648,340/x
  3. Step 3: Cross multiply
    81,447,922x = 175,648,340 × 175,648,340
  4. Step 4: Simplify right side
    81,447,922x = 30,852,339,344,755,600
  5. Step 5: Solve for x
    x = 30,852,339,344,755,600/81,447,922
  6. Step 6: Final answer
    x = 378,798,360.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.