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Finding the Third Proportional to 2,169,718,847 and 4,709,320,627

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Solution

The third proportional to 2,169,718,847 and 4,709,320,627 is: 10,221,462,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,718,847 : 4,709,320,627 = 4,709,320,627 : x
  2. Step 2: Convert to fraction form
    2,169,718,847/4,709,320,627 = 4,709,320,627/x
  3. Step 3: Cross multiply
    2,169,718,847x = 4,709,320,627 × 4,709,320,627
  4. Step 4: Simplify right side
    2,169,718,847x = 22,177,700,767,887,671,296
  5. Step 5: Solve for x
    x = 22,177,700,767,887,671,296/2,169,718,847
  6. Step 6: Final answer
    x = 10,221,462,932.19

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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.