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Finding the Third Proportional to 5,240,471 and 11,403,580

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Solution

The third proportional to 5,240,471 and 11,403,580 is: 24,814,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240,471 : 11,403,580 = 11,403,580 : x
  2. Step 2: Convert to fraction form
    5,240,471/11,403,580 = 11,403,580/x
  3. Step 3: Cross multiply
    5,240,471x = 11,403,580 × 11,403,580
  4. Step 4: Simplify right side
    5,240,471x = 130,041,636,816,400
  5. Step 5: Solve for x
    x = 130,041,636,816,400/5,240,471
  6. Step 6: Final answer
    x = 24,814,875.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.