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Finding the Third Proportional to 2,387,664.56 and 5,153,447.81

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Solution

The third proportional to 2,387,664.56 and 5,153,447.81 is: 11,123,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387,664.56 : 5,153,447.81 = 5,153,447.81 : x
  2. Step 2: Convert to fraction form
    2,387,664.56/5,153,447.81 = 5,153,447.81/x
  3. Step 3: Cross multiply
    2,387,664.56x = 5,153,447.81 × 5,153,447.81
  4. Step 4: Simplify right side
    2,387,664.56x = 26,558,024,356,161.04
  5. Step 5: Solve for x
    x = 26,558,024,356,161.04/2,387,664.56
  6. Step 6: Final answer
    x = 11,123,013.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.