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Finding the Third Proportional to 7,767,434 and 11,651,159

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Solution

The third proportional to 7,767,434 and 11,651,159 is: 17,476,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767,434 : 11,651,159 = 11,651,159 : x
  2. Step 2: Convert to fraction form
    7,767,434/11,651,159 = 11,651,159/x
  3. Step 3: Cross multiply
    7,767,434x = 11,651,159 × 11,651,159
  4. Step 4: Simplify right side
    7,767,434x = 135,749,506,043,281
  5. Step 5: Solve for x
    x = 135,749,506,043,281/7,767,434
  6. Step 6: Final answer
    x = 17,476,750.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.