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Finding the Third Proportional to 10,448,577 and 22,161,405

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Solution

The third proportional to 10,448,577 and 22,161,405 is: 47,004,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,577 : 22,161,405 = 22,161,405 : x
  2. Step 2: Convert to fraction form
    10,448,577/22,161,405 = 22,161,405/x
  3. Step 3: Cross multiply
    10,448,577x = 22,161,405 × 22,161,405
  4. Step 4: Simplify right side
    10,448,577x = 491,127,871,574,025
  5. Step 5: Solve for x
    x = 491,127,871,574,025/10,448,577
  6. Step 6: Final answer
    x = 47,004,283.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.