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Finding the Third Proportional to 10,856,702.81 and 16,539,760.69

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Solution

The third proportional to 10,856,702.81 and 16,539,760.69 is: 25,197,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856,702.81 : 16,539,760.69 = 16,539,760.69 : x
  2. Step 2: Convert to fraction form
    10,856,702.81/16,539,760.69 = 16,539,760.69/x
  3. Step 3: Cross multiply
    10,856,702.81x = 16,539,760.69 × 16,539,760.69
  4. Step 4: Simplify right side
    10,856,702.81x = 273,563,683,599,770.47
  5. Step 5: Solve for x
    x = 273,563,683,599,770.47/10,856,702.81
  6. Step 6: Final answer
    x = 25,197,676.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.