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Finding the Third Proportional to 82,359,942 and 175,663,452

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Solution

The third proportional to 82,359,942 and 175,663,452 is: 374,668,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359,942 : 175,663,452 = 175,663,452 : x
  2. Step 2: Convert to fraction form
    82,359,942/175,663,452 = 175,663,452/x
  3. Step 3: Cross multiply
    82,359,942x = 175,663,452 × 175,663,452
  4. Step 4: Simplify right side
    82,359,942x = 30,857,648,368,556,304
  5. Step 5: Solve for x
    x = 30,857,648,368,556,304/82,359,942
  6. Step 6: Final answer
    x = 374,668,165.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.