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Finding the Third Proportional to 5,209,950 and 11,108,076

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Solution

The third proportional to 5,209,950 and 11,108,076 is: 23,683,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,950 : 11,108,076 = 11,108,076 : x
  2. Step 2: Convert to fraction form
    5,209,950/11,108,076 = 11,108,076/x
  3. Step 3: Cross multiply
    5,209,950x = 11,108,076 × 11,108,076
  4. Step 4: Simplify right side
    5,209,950x = 123,389,352,421,776
  5. Step 5: Solve for x
    x = 123,389,352,421,776/5,209,950
  6. Step 6: Final answer
    x = 23,683,404.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.