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Finding the Third Proportional to 9,466,344 and 20,734,641

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Solution

The third proportional to 9,466,344 and 20,734,641 is: 45,416,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466,344 : 20,734,641 = 20,734,641 : x
  2. Step 2: Convert to fraction form
    9,466,344/20,734,641 = 20,734,641/x
  3. Step 3: Cross multiply
    9,466,344x = 20,734,641 × 20,734,641
  4. Step 4: Simplify right side
    9,466,344x = 429,925,337,398,881
  5. Step 5: Solve for x
    x = 429,925,337,398,881/9,466,344
  6. Step 6: Final answer
    x = 45,416,196.31

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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.