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Finding the Third Proportional to 2,356,447 and 5,132,784

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Solution

The third proportional to 2,356,447 and 5,132,784 is: 11,180,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,447 : 5,132,784 = 5,132,784 : x
  2. Step 2: Convert to fraction form
    2,356,447/5,132,784 = 5,132,784/x
  3. Step 3: Cross multiply
    2,356,447x = 5,132,784 × 5,132,784
  4. Step 4: Simplify right side
    2,356,447x = 26,345,471,590,656
  5. Step 5: Solve for x
    x = 26,345,471,590,656/2,356,447
  6. Step 6: Final answer
    x = 11,180,167.26

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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.