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Finding the Third Proportional to 38,653,114 and 83,358,752

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Solution

The third proportional to 38,653,114 and 83,358,752 is: 179,770,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653,114 : 83,358,752 = 83,358,752 : x
  2. Step 2: Convert to fraction form
    38,653,114/83,358,752 = 83,358,752/x
  3. Step 3: Cross multiply
    38,653,114x = 83,358,752 × 83,358,752
  4. Step 4: Simplify right side
    38,653,114x = 6,948,681,534,997,504
  5. Step 5: Solve for x
    x = 6,948,681,534,997,504/38,653,114
  6. Step 6: Final answer
    x = 179,770,290.56

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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.