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Finding the Third Proportional to 7,673,826,384 and 16,794,172,908

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Solution

The third proportional to 7,673,826,384 and 16,794,172,908 is: 36,754,055,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673,826,384 : 16,794,172,908 = 16,794,172,908 : x
  2. Step 2: Convert to fraction form
    7,673,826,384/16,794,172,908 = 16,794,172,908/x
  3. Step 3: Cross multiply
    7,673,826,384x = 16,794,172,908 × 16,794,172,908
  4. Step 4: Simplify right side
    7,673,826,384x = 282,044,243,663,801,188,352
  5. Step 5: Solve for x
    x = 282,044,243,663,801,188,352/7,673,826,384
  6. Step 6: Final answer
    x = 36,754,055,871.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.