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Finding the Third Proportional to 4,158,827.50 and 9,100,327.50

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Solution

The third proportional to 4,158,827.50 and 9,100,327.50 is: 19,913,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158,827.50 : 9,100,327.50 = 9,100,327.50 : x
  2. Step 2: Convert to fraction form
    4,158,827.50/9,100,327.50 = 9,100,327.50/x
  3. Step 3: Cross multiply
    4,158,827.50x = 9,100,327.50 × 9,100,327.50
  4. Step 4: Simplify right side
    4,158,827.50x = 82,815,960,607,256.25
  5. Step 5: Solve for x
    x = 82,815,960,607,256.25/4,158,827.50
  6. Step 6: Final answer
    x = 19,913,295.42

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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.