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Finding the Third Proportional to 4,581,575 and 9,871,249

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Solution

The third proportional to 4,581,575 and 9,871,249 is: 21,268,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581,575 : 9,871,249 = 9,871,249 : x
  2. Step 2: Convert to fraction form
    4,581,575/9,871,249 = 9,871,249/x
  3. Step 3: Cross multiply
    4,581,575x = 9,871,249 × 9,871,249
  4. Step 4: Simplify right side
    4,581,575x = 97,441,556,820,001
  5. Step 5: Solve for x
    x = 97,441,556,820,001/4,581,575
  6. Step 6: Final answer
    x = 21,268,135.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.