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Finding the Third Proportional to 4,128,799.50 and 9,714,245.63

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Solution

The third proportional to 4,128,799.50 and 9,714,245.63 is: 22,855,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128,799.50 : 9,714,245.63 = 9,714,245.63 : x
  2. Step 2: Convert to fraction form
    4,128,799.50/9,714,245.63 = 9,714,245.63/x
  3. Step 3: Cross multiply
    4,128,799.50x = 9,714,245.63 × 9,714,245.63
  4. Step 4: Simplify right side
    4,128,799.50x = 94,366,568,062,831.64
  5. Step 5: Solve for x
    x = 94,366,568,062,831.64/4,128,799.50
  6. Step 6: Final answer
    x = 22,855,691.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.