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Finding the Third Proportional to 7,146,069 and 15,576,879

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Solution

The third proportional to 7,146,069 and 15,576,879 is: 33,954,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146,069 : 15,576,879 = 15,576,879 : x
  2. Step 2: Convert to fraction form
    7,146,069/15,576,879 = 15,576,879/x
  3. Step 3: Cross multiply
    7,146,069x = 15,576,879 × 15,576,879
  4. Step 4: Simplify right side
    7,146,069x = 242,639,159,380,641
  5. Step 5: Solve for x
    x = 242,639,159,380,641/7,146,069
  6. Step 6: Final answer
    x = 33,954,214.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.