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Finding the Third Proportional to 849,472,311,098 and 1,820,110,247,068

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Solution

The third proportional to 849,472,311,098 and 1,820,110,247,068 is: 3,899,834,365,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,472,311,098 : 1,820,110,247,068 = 1,820,110,247,068 : x
  2. Step 2: Convert to fraction form
    849,472,311,098/1,820,110,247,068 = 1,820,110,247,068/x
  3. Step 3: Cross multiply
    849,472,311,098x = 1,820,110,247,068 × 1,820,110,247,068
  4. Step 4: Simplify right side
    849,472,311,098x = 3,312,801,311,481,936,081,846,272
  5. Step 5: Solve for x
    x = 3,312,801,311,481,936,081,846,272/849,472,311,098
  6. Step 6: Final answer
    x = 3,899,834,365,642.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.