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Finding the Third Proportional to 4,690,145 and 10,278,094

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Solution

The third proportional to 4,690,145 and 10,278,094 is: 22,523,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690,145 : 10,278,094 = 10,278,094 : x
  2. Step 2: Convert to fraction form
    4,690,145/10,278,094 = 10,278,094/x
  3. Step 3: Cross multiply
    4,690,145x = 10,278,094 × 10,278,094
  4. Step 4: Simplify right side
    4,690,145x = 105,639,216,272,836
  5. Step 5: Solve for x
    x = 105,639,216,272,836/4,690,145
  6. Step 6: Final answer
    x = 22,523,656.79

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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.