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Finding the Third Proportional to 5,009,580 and 10,727,532

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Solution

The third proportional to 5,009,580 and 10,727,532 is: 22,971,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009,580 : 10,727,532 = 10,727,532 : x
  2. Step 2: Convert to fraction form
    5,009,580/10,727,532 = 10,727,532/x
  3. Step 3: Cross multiply
    5,009,580x = 10,727,532 × 10,727,532
  4. Step 4: Simplify right side
    5,009,580x = 115,079,942,811,024
  5. Step 5: Solve for x
    x = 115,079,942,811,024/5,009,580
  6. Step 6: Final answer
    x = 22,971,974.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.