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Finding the Third Proportional to 8,032,509.28 and 12,066,294.09

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Solution

The third proportional to 8,032,509.28 and 12,066,294.09 is: 18,125,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,509.28 : 12,066,294.09 = 12,066,294.09 : x
  2. Step 2: Convert to fraction form
    8,032,509.28/12,066,294.09 = 12,066,294.09/x
  3. Step 3: Cross multiply
    8,032,509.28x = 12,066,294.09 × 12,066,294.09
  4. Step 4: Simplify right side
    8,032,509.28x = 145,595,453,156,866.12
  5. Step 5: Solve for x
    x = 145,595,453,156,866.12/8,032,509.28
  6. Step 6: Final answer
    x = 18,125,774.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.