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Finding the Third Proportional to 2,445,378 and 5,363,146

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Solution

The third proportional to 2,445,378 and 5,363,146 is: 11,762,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445,378 : 5,363,146 = 5,363,146 : x
  2. Step 2: Convert to fraction form
    2,445,378/5,363,146 = 5,363,146/x
  3. Step 3: Cross multiply
    2,445,378x = 5,363,146 × 5,363,146
  4. Step 4: Simplify right side
    2,445,378x = 28,763,335,017,316
  5. Step 5: Solve for x
    x = 28,763,335,017,316/2,445,378
  6. Step 6: Final answer
    x = 11,762,326.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.