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Finding the Third Proportional to 2,169,718,829 and 4,709,320,591

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Solution

The third proportional to 2,169,718,829 and 4,709,320,591 is: 10,221,462,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,718,829 : 4,709,320,591 = 4,709,320,591 : x
  2. Step 2: Convert to fraction form
    2,169,718,829/4,709,320,591 = 4,709,320,591/x
  3. Step 3: Cross multiply
    2,169,718,829x = 4,709,320,591 × 4,709,320,591
  4. Step 4: Simplify right side
    2,169,718,829x = 22,177,700,428,816,588,800
  5. Step 5: Solve for x
    x = 22,177,700,428,816,588,800/2,169,718,829
  6. Step 6: Final answer
    x = 10,221,462,860.71

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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.