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Finding the Third Proportional to 4,734,353 and 10,354,414

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Solution

The third proportional to 4,734,353 and 10,354,414 is: 22,645,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,353 : 10,354,414 = 10,354,414 : x
  2. Step 2: Convert to fraction form
    4,734,353/10,354,414 = 10,354,414/x
  3. Step 3: Cross multiply
    4,734,353x = 10,354,414 × 10,354,414
  4. Step 4: Simplify right side
    4,734,353x = 107,213,889,283,396
  5. Step 5: Solve for x
    x = 107,213,889,283,396/4,734,353
  6. Step 6: Final answer
    x = 22,645,943.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.