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Finding the Third Proportional to 82,360,062 and 175,663,692

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Solution

The third proportional to 82,360,062 and 175,663,692 is: 374,668,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,360,062 : 175,663,692 = 175,663,692 : x
  2. Step 2: Convert to fraction form
    82,360,062/175,663,692 = 175,663,692/x
  3. Step 3: Cross multiply
    82,360,062x = 175,663,692 × 175,663,692
  4. Step 4: Simplify right side
    82,360,062x = 30,857,732,687,070,864
  5. Step 5: Solve for x
    x = 30,857,732,687,070,864/82,360,062
  6. Step 6: Final answer
    x = 374,668,643.24

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Why These Related Problems?

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