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Finding the Third Proportional to 38,551,658 and 83,821,780

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Solution

The third proportional to 38,551,658 and 83,821,780 is: 182,251,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,551,658 : 83,821,780 = 83,821,780 : x
  2. Step 2: Convert to fraction form
    38,551,658/83,821,780 = 83,821,780/x
  3. Step 3: Cross multiply
    38,551,658x = 83,821,780 × 83,821,780
  4. Step 4: Simplify right side
    38,551,658x = 7,026,090,802,368,400
  5. Step 5: Solve for x
    x = 7,026,090,802,368,400/38,551,658
  6. Step 6: Final answer
    x = 182,251,326.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.