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Finding the Third Proportional to 38,570,220 and 82,371,357

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Solution

The third proportional to 38,570,220 and 82,371,357 is: 175,913,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570,220 : 82,371,357 = 82,371,357 : x
  2. Step 2: Convert to fraction form
    38,570,220/82,371,357 = 82,371,357/x
  3. Step 3: Cross multiply
    38,570,220x = 82,371,357 × 82,371,357
  4. Step 4: Simplify right side
    38,570,220x = 6,785,040,454,021,449
  5. Step 5: Solve for x
    x = 6,785,040,454,021,449/38,570,220
  6. Step 6: Final answer
    x = 175,913,968.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.