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Finding the Third Proportional to 8,264,784.06 and 19,299,623.60

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Solution

The third proportional to 8,264,784.06 and 19,299,623.60 is: 45,067,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264,784.06 : 19,299,623.60 = 19,299,623.60 : x
  2. Step 2: Convert to fraction form
    8,264,784.06/19,299,623.60 = 19,299,623.60/x
  3. Step 3: Cross multiply
    8,264,784.06x = 19,299,623.60 × 19,299,623.60
  4. Step 4: Simplify right side
    8,264,784.06x = 372,475,471,048,873.19
  5. Step 5: Solve for x
    x = 372,475,471,048,873.19/8,264,784.06
  6. Step 6: Final answer
    x = 45,067,780.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.