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Finding the Third Proportional to 11,348,110.13 and 23,503,692.38

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Solution

The third proportional to 11,348,110.13 and 23,503,692.38 is: 48,679,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348,110.13 : 23,503,692.38 = 23,503,692.38 : x
  2. Step 2: Convert to fraction form
    11,348,110.13/23,503,692.38 = 23,503,692.38/x
  3. Step 3: Cross multiply
    11,348,110.13x = 23,503,692.38 × 23,503,692.38
  4. Step 4: Simplify right side
    11,348,110.13x = 552,423,555,258,633.12
  5. Step 5: Solve for x
    x = 552,423,555,258,633.12/11,348,110.13
  6. Step 6: Final answer
    x = 48,679,784.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.