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Finding the Third Proportional to 5,856,005.11 and 8,749,562.41

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Solution

The third proportional to 5,856,005.11 and 8,749,562.41 is: 13,072,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856,005.11 : 8,749,562.41 = 8,749,562.41 : x
  2. Step 2: Convert to fraction form
    5,856,005.11/8,749,562.41 = 8,749,562.41/x
  3. Step 3: Cross multiply
    5,856,005.11x = 8,749,562.41 × 8,749,562.41
  4. Step 4: Simplify right side
    5,856,005.11x = 76,554,842,437,575.20
  5. Step 5: Solve for x
    x = 76,554,842,437,575.20/5,856,005.11
  6. Step 6: Final answer
    x = 13,072,878.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.