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Finding the Third Proportional to 11,014,218 and 23,858,985.75

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Solution

The third proportional to 11,014,218 and 23,858,985.75 is: 51,683,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014,218 : 23,858,985.75 = 23,858,985.75 : x
  2. Step 2: Convert to fraction form
    11,014,218/23,858,985.75 = 23,858,985.75/x
  3. Step 3: Cross multiply
    11,014,218x = 23,858,985.75 × 23,858,985.75
  4. Step 4: Simplify right side
    11,014,218x = 569,251,201,018,703
  5. Step 5: Solve for x
    x = 569,251,201,018,703/11,014,218
  6. Step 6: Final answer
    x = 51,683,306.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.