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Finding the Third Proportional to 2,631,864 and 5,655,346

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Solution

The third proportional to 2,631,864 and 5,655,346 is: 12,152,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631,864 : 5,655,346 = 5,655,346 : x
  2. Step 2: Convert to fraction form
    2,631,864/5,655,346 = 5,655,346/x
  3. Step 3: Cross multiply
    2,631,864x = 5,655,346 × 5,655,346
  4. Step 4: Simplify right side
    2,631,864x = 31,982,938,379,716
  5. Step 5: Solve for x
    x = 31,982,938,379,716/2,631,864
  6. Step 6: Final answer
    x = 12,152,200.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.