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Finding the Third Proportional to 5,209,952 and 11,108,080

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Solution

The third proportional to 5,209,952 and 11,108,080 is: 23,683,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,952 : 11,108,080 = 11,108,080 : x
  2. Step 2: Convert to fraction form
    5,209,952/11,108,080 = 11,108,080/x
  3. Step 3: Cross multiply
    5,209,952x = 11,108,080 × 11,108,080
  4. Step 4: Simplify right side
    5,209,952x = 123,389,441,286,400
  5. Step 5: Solve for x
    x = 123,389,441,286,400/5,209,952
  6. Step 6: Final answer
    x = 23,683,412.30

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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.