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Finding the Third Proportional to 38,570,206 and 82,371,330

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Solution

The third proportional to 38,570,206 and 82,371,330 is: 175,913,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570,206 : 82,371,330 = 82,371,330 : x
  2. Step 2: Convert to fraction form
    38,570,206/82,371,330 = 82,371,330/x
  3. Step 3: Cross multiply
    38,570,206x = 82,371,330 × 82,371,330
  4. Step 4: Simplify right side
    38,570,206x = 6,785,036,005,968,900
  5. Step 5: Solve for x
    x = 6,785,036,005,968,900/38,570,206
  6. Step 6: Final answer
    x = 175,913,916.72

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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.