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Finding the Third Proportional to 7,858,971 and 16,913,097

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Solution

The third proportional to 7,858,971 and 16,913,097 is: 36,398,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858,971 : 16,913,097 = 16,913,097 : x
  2. Step 2: Convert to fraction form
    7,858,971/16,913,097 = 16,913,097/x
  3. Step 3: Cross multiply
    7,858,971x = 16,913,097 × 16,913,097
  4. Step 4: Simplify right side
    7,858,971x = 286,052,850,131,409
  5. Step 5: Solve for x
    x = 286,052,850,131,409/7,858,971
  6. Step 6: Final answer
    x = 36,398,257.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.