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Finding the Third Proportional to 2,253,678.19 and 5,314,744.13

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Solution

The third proportional to 2,253,678.19 and 5,314,744.13 is: 12,533,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253,678.19 : 5,314,744.13 = 5,314,744.13 : x
  2. Step 2: Convert to fraction form
    2,253,678.19/5,314,744.13 = 5,314,744.13/x
  3. Step 3: Cross multiply
    2,253,678.19x = 5,314,744.13 × 5,314,744.13
  4. Step 4: Simplify right side
    2,253,678.19x = 28,246,505,114,222.02
  5. Step 5: Solve for x
    x = 28,246,505,114,222.02/2,253,678.19
  6. Step 6: Final answer
    x = 12,533,513.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.