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Finding the Third Proportional to 4,522,154 and 9,857,394

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Solution

The third proportional to 4,522,154 and 9,857,394 is: 21,487,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522,154 : 9,857,394 = 9,857,394 : x
  2. Step 2: Convert to fraction form
    4,522,154/9,857,394 = 9,857,394/x
  3. Step 3: Cross multiply
    4,522,154x = 9,857,394 × 9,857,394
  4. Step 4: Simplify right side
    4,522,154x = 97,168,216,471,236
  5. Step 5: Solve for x
    x = 97,168,216,471,236/4,522,154
  6. Step 6: Final answer
    x = 21,487,153.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.