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Finding the Third Proportional to 82,359,944 and 175,663,456

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Solution

The third proportional to 82,359,944 and 175,663,456 is: 374,668,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359,944 : 175,663,456 = 175,663,456 : x
  2. Step 2: Convert to fraction form
    82,359,944/175,663,456 = 175,663,456/x
  3. Step 3: Cross multiply
    82,359,944x = 175,663,456 × 175,663,456
  4. Step 4: Simplify right side
    82,359,944x = 30,857,649,773,863,936
  5. Step 5: Solve for x
    x = 30,857,649,773,863,936/82,359,944
  6. Step 6: Final answer
    x = 374,668,173.33

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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.