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Finding the Third Proportional to 38,498,535 and 85,604,735.25

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Solution

The third proportional to 38,498,535 and 85,604,735.25 is: 190,349,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498,535 : 85,604,735.25 = 85,604,735.25 : x
  2. Step 2: Convert to fraction form
    38,498,535/85,604,735.25 = 85,604,735.25/x
  3. Step 3: Cross multiply
    38,498,535x = 85,604,735.25 × 85,604,735.25
  4. Step 4: Simplify right side
    38,498,535x = 7,328,170,697,222,593
  5. Step 5: Solve for x
    x = 7,328,170,697,222,593/38,498,535
  6. Step 6: Final answer
    x = 190,349,339.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.