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Finding the Third Proportional to 4,715,998 and 10,104,294

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Solution

The third proportional to 4,715,998 and 10,104,294 is: 21,649,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715,998 : 10,104,294 = 10,104,294 : x
  2. Step 2: Convert to fraction form
    4,715,998/10,104,294 = 10,104,294/x
  3. Step 3: Cross multiply
    4,715,998x = 10,104,294 × 10,104,294
  4. Step 4: Simplify right side
    4,715,998x = 102,096,757,238,436
  5. Step 5: Solve for x
    x = 102,096,757,238,436/4,715,998
  6. Step 6: Final answer
    x = 21,649,024.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.