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Finding the Third Proportional to 849,472,311,100 and 1,820,110,247,072

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Solution

The third proportional to 849,472,311,100 and 1,820,110,247,072 is: 3,899,834,365,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,472,311,100 : 1,820,110,247,072 = 1,820,110,247,072 : x
  2. Step 2: Convert to fraction form
    849,472,311,100/1,820,110,247,072 = 1,820,110,247,072/x
  3. Step 3: Cross multiply
    849,472,311,100x = 1,820,110,247,072 × 1,820,110,247,072
  4. Step 4: Simplify right side
    849,472,311,100x = 3,312,801,311,496,497,094,721,536
  5. Step 5: Solve for x
    x = 3,312,801,311,496,497,094,721,536/849,472,311,100
  6. Step 6: Final answer
    x = 3,899,834,365,650.69

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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.