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Finding the Third Proportional to 7,812,664 and 17,138,063

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Solution

The third proportional to 7,812,664 and 17,138,063 is: 37,594,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,664 : 17,138,063 = 17,138,063 : x
  2. Step 2: Convert to fraction form
    7,812,664/17,138,063 = 17,138,063/x
  3. Step 3: Cross multiply
    7,812,664x = 17,138,063 × 17,138,063
  4. Step 4: Simplify right side
    7,812,664x = 293,713,203,391,969
  5. Step 5: Solve for x
    x = 293,713,203,391,969/7,812,664
  6. Step 6: Final answer
    x = 37,594,500.85

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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.