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Finding the Third Proportional to 9,194,348 and 20,182,023

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Solution

The third proportional to 9,194,348 and 20,182,023 is: 44,300,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194,348 : 20,182,023 = 20,182,023 : x
  2. Step 2: Convert to fraction form
    9,194,348/20,182,023 = 20,182,023/x
  3. Step 3: Cross multiply
    9,194,348x = 20,182,023 × 20,182,023
  4. Step 4: Simplify right side
    9,194,348x = 407,314,052,372,529
  5. Step 5: Solve for x
    x = 407,314,052,372,529/9,194,348
  6. Step 6: Final answer
    x = 44,300,482.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.