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Finding the Third Proportional to 38,648,790 and 84,242,034

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Solution

The third proportional to 38,648,790 and 84,242,034 is: 183,620,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648,790 : 84,242,034 = 84,242,034 : x
  2. Step 2: Convert to fraction form
    38,648,790/84,242,034 = 84,242,034/x
  3. Step 3: Cross multiply
    38,648,790x = 84,242,034 × 84,242,034
  4. Step 4: Simplify right side
    38,648,790x = 7,096,720,292,457,156
  5. Step 5: Solve for x
    x = 7,096,720,292,457,156/38,648,790
  6. Step 6: Final answer
    x = 183,620,762.58

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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.