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Finding the Third Proportional to 2,510,188 and 5,153,864

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Solution

The third proportional to 2,510,188 and 5,153,864 is: 10,581,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,188 : 5,153,864 = 5,153,864 : x
  2. Step 2: Convert to fraction form
    2,510,188/5,153,864 = 5,153,864/x
  3. Step 3: Cross multiply
    2,510,188x = 5,153,864 × 5,153,864
  4. Step 4: Simplify right side
    2,510,188x = 26,562,314,130,496
  5. Step 5: Solve for x
    x = 26,562,314,130,496/2,510,188
  6. Step 6: Final answer
    x = 10,581,802.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.