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Finding the Third Proportional to 4,698,198 and 10,259,289

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Solution

The third proportional to 4,698,198 and 10,259,289 is: 22,402,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698,198 : 10,259,289 = 10,259,289 : x
  2. Step 2: Convert to fraction form
    4,698,198/10,259,289 = 10,259,289/x
  3. Step 3: Cross multiply
    4,698,198x = 10,259,289 × 10,259,289
  4. Step 4: Simplify right side
    4,698,198x = 105,253,010,785,521
  5. Step 5: Solve for x
    x = 105,253,010,785,521/4,698,198
  6. Step 6: Final answer
    x = 22,402,846.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.