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Finding the Third Proportional to 38,648,796 and 84,242,048

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Solution

The third proportional to 38,648,796 and 84,242,048 is: 183,620,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648,796 : 84,242,048 = 84,242,048 : x
  2. Step 2: Convert to fraction form
    38,648,796/84,242,048 = 84,242,048/x
  3. Step 3: Cross multiply
    38,648,796x = 84,242,048 × 84,242,048
  4. Step 4: Simplify right side
    38,648,796x = 7,096,722,651,234,304
  5. Step 5: Solve for x
    x = 7,096,722,651,234,304/38,648,796
  6. Step 6: Final answer
    x = 183,620,795.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.