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Finding the Third Proportional to 2,169,718,817 and 4,709,320,567

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Solution

The third proportional to 2,169,718,817 and 4,709,320,567 is: 10,221,462,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,718,817 : 4,709,320,567 = 4,709,320,567 : x
  2. Step 2: Convert to fraction form
    2,169,718,817/4,709,320,567 = 4,709,320,567/x
  3. Step 3: Cross multiply
    2,169,718,817x = 4,709,320,567 × 4,709,320,567
  4. Step 4: Simplify right side
    2,169,718,817x = 22,177,700,202,769,203,200
  5. Step 5: Solve for x
    x = 22,177,700,202,769,203,200/2,169,718,817
  6. Step 6: Final answer
    x = 10,221,462,813.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.