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Finding the Third Proportional to 82,310,280 and 175,552,320

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Solution

The third proportional to 82,310,280 and 175,552,320 is: 374,420,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,310,280 : 175,552,320 = 175,552,320 : x
  2. Step 2: Convert to fraction form
    82,310,280/175,552,320 = 175,552,320/x
  3. Step 3: Cross multiply
    82,310,280x = 175,552,320 × 175,552,320
  4. Step 4: Simplify right side
    82,310,280x = 30,818,617,057,382,400
  5. Step 5: Solve for x
    x = 30,818,617,057,382,400/82,310,280
  6. Step 6: Final answer
    x = 374,420,024.54

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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.