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Finding the Third Proportional to 4,146,890,610 and 9,139,049,616

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Solution

The third proportional to 4,146,890,610 and 9,139,049,616 is: 20,140,928,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,890,610 : 9,139,049,616 = 9,139,049,616 : x
  2. Step 2: Convert to fraction form
    4,146,890,610/9,139,049,616 = 9,139,049,616/x
  3. Step 3: Cross multiply
    4,146,890,610x = 9,139,049,616 × 9,139,049,616
  4. Step 4: Simplify right side
    4,146,890,610x = 83,522,227,883,709,743,104
  5. Step 5: Solve for x
    x = 83,522,227,883,709,743,104/4,146,890,610
  6. Step 6: Final answer
    x = 20,140,928,647.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.