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Finding the Third Proportional to 2,124,351 and 4,546,876.50

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Solution

The third proportional to 2,124,351 and 4,546,876.50 is: 9,731,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124,351 : 4,546,876.50 = 4,546,876.50 : x
  2. Step 2: Convert to fraction form
    2,124,351/4,546,876.50 = 4,546,876.50/x
  3. Step 3: Cross multiply
    2,124,351x = 4,546,876.50 × 4,546,876.50
  4. Step 4: Simplify right side
    2,124,351x = 20,674,085,906,252.25
  5. Step 5: Solve for x
    x = 20,674,085,906,252.25/2,124,351
  6. Step 6: Final answer
    x = 9,731,953.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.