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Finding the Third Proportional to 5,148,195 and 11,285,460

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Solution

The third proportional to 5,148,195 and 11,285,460 is: 24,739,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,195 : 11,285,460 = 11,285,460 : x
  2. Step 2: Convert to fraction form
    5,148,195/11,285,460 = 11,285,460/x
  3. Step 3: Cross multiply
    5,148,195x = 11,285,460 × 11,285,460
  4. Step 4: Simplify right side
    5,148,195x = 127,361,607,411,600
  5. Step 5: Solve for x
    x = 127,361,607,411,600/5,148,195
  6. Step 6: Final answer
    x = 24,739,079.89

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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.