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Finding the Third Proportional to 9,790,502 and 13,762,838

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Solution

The third proportional to 9,790,502 and 13,762,838 is: 19,346,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,502 : 13,762,838 = 13,762,838 : x
  2. Step 2: Convert to fraction form
    9,790,502/13,762,838 = 13,762,838/x
  3. Step 3: Cross multiply
    9,790,502x = 13,762,838 × 13,762,838
  4. Step 4: Simplify right side
    9,790,502x = 189,415,709,814,244
  5. Step 5: Solve for x
    x = 189,415,709,814,244/9,790,502
  6. Step 6: Final answer
    x = 19,346,884.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.