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Finding the Third Proportional to 10,838,406 and 15,958,185

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Solution

The third proportional to 10,838,406 and 15,958,185 is: 23,496,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838,406 : 15,958,185 = 15,958,185 : x
  2. Step 2: Convert to fraction form
    10,838,406/15,958,185 = 15,958,185/x
  3. Step 3: Cross multiply
    10,838,406x = 15,958,185 × 15,958,185
  4. Step 4: Simplify right side
    10,838,406x = 254,663,668,494,225
  5. Step 5: Solve for x
    x = 254,663,668,494,225/10,838,406
  6. Step 6: Final answer
    x = 23,496,413.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.