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Finding the Third Proportional to 7,226,409 and 10,640,004

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Solution

The third proportional to 7,226,409 and 10,640,004 is: 15,666,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226,409 : 10,640,004 = 10,640,004 : x
  2. Step 2: Convert to fraction form
    7,226,409/10,640,004 = 10,640,004/x
  3. Step 3: Cross multiply
    7,226,409x = 10,640,004 × 10,640,004
  4. Step 4: Simplify right side
    7,226,409x = 113,209,685,120,016
  5. Step 5: Solve for x
    x = 113,209,685,120,016/7,226,409
  6. Step 6: Final answer
    x = 15,666,105.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.