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Finding the Third Proportional to 38,259,792 and 82,771,488

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Solution

The third proportional to 38,259,792 and 82,771,488 is: 179,068,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,259,792 : 82,771,488 = 82,771,488 : x
  2. Step 2: Convert to fraction form
    38,259,792/82,771,488 = 82,771,488/x
  3. Step 3: Cross multiply
    38,259,792x = 82,771,488 × 82,771,488
  4. Step 4: Simplify right side
    38,259,792x = 6,851,119,225,734,144
  5. Step 5: Solve for x
    x = 6,851,119,225,734,144/38,259,792
  6. Step 6: Final answer
    x = 179,068,386.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.