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Finding the Third Proportional to 11,423,826 and 24,728,580

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Solution

The third proportional to 11,423,826 and 24,728,580 is: 53,528,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423,826 : 24,728,580 = 24,728,580 : x
  2. Step 2: Convert to fraction form
    11,423,826/24,728,580 = 24,728,580/x
  3. Step 3: Cross multiply
    11,423,826x = 24,728,580 × 24,728,580
  4. Step 4: Simplify right side
    11,423,826x = 611,502,668,816,400
  5. Step 5: Solve for x
    x = 611,502,668,816,400/11,423,826
  6. Step 6: Final answer
    x = 53,528,709.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.