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Finding the Third Proportional to 9,220,856 and 14,815,434

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Solution

The third proportional to 9,220,856 and 14,815,434 is: 23,804,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220,856 : 14,815,434 = 14,815,434 : x
  2. Step 2: Convert to fraction form
    9,220,856/14,815,434 = 14,815,434/x
  3. Step 3: Cross multiply
    9,220,856x = 14,815,434 × 14,815,434
  4. Step 4: Simplify right side
    9,220,856x = 219,497,084,608,356
  5. Step 5: Solve for x
    x = 219,497,084,608,356/9,220,856
  6. Step 6: Final answer
    x = 23,804,415.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.