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Finding the Third Proportional to 2,169,718,869 and 4,709,320,671

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Solution

The third proportional to 2,169,718,869 and 4,709,320,671 is: 10,221,463,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,718,869 : 4,709,320,671 = 4,709,320,671 : x
  2. Step 2: Convert to fraction form
    2,169,718,869/4,709,320,671 = 4,709,320,671/x
  3. Step 3: Cross multiply
    2,169,718,869x = 4,709,320,671 × 4,709,320,671
  4. Step 4: Simplify right side
    2,169,718,869x = 22,177,701,182,307,889,152
  5. Step 5: Solve for x
    x = 22,177,701,182,307,889,152/2,169,718,869
  6. Step 6: Final answer
    x = 10,221,463,019.55

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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.