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Finding the Third Proportional to 38,010,998 and 83,205,580

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Solution

The third proportional to 38,010,998 and 83,205,580 is: 182,135,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,010,998 : 83,205,580 = 83,205,580 : x
  2. Step 2: Convert to fraction form
    38,010,998/83,205,580 = 83,205,580/x
  3. Step 3: Cross multiply
    38,010,998x = 83,205,580 × 83,205,580
  4. Step 4: Simplify right side
    38,010,998x = 6,923,168,543,136,400
  5. Step 5: Solve for x
    x = 6,923,168,543,136,400/38,010,998
  6. Step 6: Final answer
    x = 182,135,931.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.