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Finding the Third Proportional to 6,169,866 and 13,338,516

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Solution

The third proportional to 6,169,866 and 13,338,516 is: 28,836,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,866 : 13,338,516 = 13,338,516 : x
  2. Step 2: Convert to fraction form
    6,169,866/13,338,516 = 13,338,516/x
  3. Step 3: Cross multiply
    6,169,866x = 13,338,516 × 13,338,516
  4. Step 4: Simplify right side
    6,169,866x = 177,916,009,082,256
  5. Step 5: Solve for x
    x = 177,916,009,082,256/6,169,866
  6. Step 6: Final answer
    x = 28,836,284.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.