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Finding the Third Proportional to 5,698,418 and 8,148,192

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Solution

The third proportional to 5,698,418 and 8,148,192 is: 11,651,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698,418 : 8,148,192 = 8,148,192 : x
  2. Step 2: Convert to fraction form
    5,698,418/8,148,192 = 8,148,192/x
  3. Step 3: Cross multiply
    5,698,418x = 8,148,192 × 8,148,192
  4. Step 4: Simplify right side
    5,698,418x = 66,393,032,868,864
  5. Step 5: Solve for x
    x = 66,393,032,868,864/5,698,418
  6. Step 6: Final answer
    x = 11,651,134.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.