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Finding the Third Proportional to 2,381,369.63 and 5,144,712.75

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Solution

The third proportional to 2,381,369.63 and 5,144,712.75 is: 11,114,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381,369.63 : 5,144,712.75 = 5,144,712.75 : x
  2. Step 2: Convert to fraction form
    2,381,369.63/5,144,712.75 = 5,144,712.75/x
  3. Step 3: Cross multiply
    2,381,369.63x = 5,144,712.75 × 5,144,712.75
  4. Step 4: Simplify right side
    2,381,369.63x = 26,468,069,280,012.56
  5. Step 5: Solve for x
    x = 26,468,069,280,012.56/2,381,369.63
  6. Step 6: Final answer
    x = 11,114,641.34

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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.