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Finding the Third Proportional to 2,216,225.25 and 4,852,823.63

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Solution

The third proportional to 2,216,225.25 and 4,852,823.63 is: 10,626,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,225.25 : 4,852,823.63 = 4,852,823.63 : x
  2. Step 2: Convert to fraction form
    2,216,225.25/4,852,823.63 = 4,852,823.63/x
  3. Step 3: Cross multiply
    2,216,225.25x = 4,852,823.63 × 4,852,823.63
  4. Step 4: Simplify right side
    2,216,225.25x = 23,549,897,135,358.14
  5. Step 5: Solve for x
    x = 23,549,897,135,358.14/2,216,225.25
  6. Step 6: Final answer
    x = 10,626,129.78

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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.