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Finding the Third Proportional to 9,039,622.78 and 13,640,934.09

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Solution

The third proportional to 9,039,622.78 and 13,640,934.09 is: 20,584,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039,622.78 : 13,640,934.09 = 13,640,934.09 : x
  2. Step 2: Convert to fraction form
    9,039,622.78/13,640,934.09 = 13,640,934.09/x
  3. Step 3: Cross multiply
    9,039,622.78x = 13,640,934.09 × 13,640,934.09
  4. Step 4: Simplify right side
    9,039,622.78x = 186,075,082,950,031.12
  5. Step 5: Solve for x
    x = 186,075,082,950,031.12/9,039,622.78
  6. Step 6: Final answer
    x = 20,584,385.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.