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Finding the Third Proportional to 9,810,944,277 and 21,521,308,494

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Solution

The third proportional to 9,810,944,277 and 21,521,308,494 is: 47,209,188,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810,944,277 : 21,521,308,494 = 21,521,308,494 : x
  2. Step 2: Convert to fraction form
    9,810,944,277/21,521,308,494 = 21,521,308,494/x
  3. Step 3: Cross multiply
    9,810,944,277x = 21,521,308,494 × 21,521,308,494
  4. Step 4: Simplify right side
    9,810,944,277x = 463,166,719,293,916,577,792
  5. Step 5: Solve for x
    x = 463,166,719,293,916,577,792/9,810,944,277
  6. Step 6: Final answer
    x = 47,209,188,658.81

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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.