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Finding the Third Proportional to 4,293,602.50 and 9,259,790.75

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Solution

The third proportional to 4,293,602.50 and 9,259,790.75 is: 19,970,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293,602.50 : 9,259,790.75 = 9,259,790.75 : x
  2. Step 2: Convert to fraction form
    4,293,602.50/9,259,790.75 = 9,259,790.75/x
  3. Step 3: Cross multiply
    4,293,602.50x = 9,259,790.75 × 9,259,790.75
  4. Step 4: Simplify right side
    4,293,602.50x = 85,743,724,733,785.56
  5. Step 5: Solve for x
    x = 85,743,724,733,785.56/4,293,602.50
  6. Step 6: Final answer
    x = 19,970,112.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.