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Finding the Third Proportional to 10,871,388 and 23,298,983.25

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Solution

The third proportional to 10,871,388 and 23,298,983.25 is: 49,933,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871,388 : 23,298,983.25 = 23,298,983.25 : x
  2. Step 2: Convert to fraction form
    10,871,388/23,298,983.25 = 23,298,983.25/x
  3. Step 3: Cross multiply
    10,871,388x = 23,298,983.25 × 23,298,983.25
  4. Step 4: Simplify right side
    10,871,388x = 542,842,620,483,780.56
  5. Step 5: Solve for x
    x = 542,842,620,483,780.56/10,871,388
  6. Step 6: Final answer
    x = 49,933,147.50

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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.