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Finding the Third Proportional to 10,827,117,571.50 and 17,228,072,952

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Solution

The third proportional to 10,827,117,571.50 and 17,228,072,952 is: 27,413,251,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827,117,571.50 : 17,228,072,952 = 17,228,072,952 : x
  2. Step 2: Convert to fraction form
    10,827,117,571.50/17,228,072,952 = 17,228,072,952/x
  3. Step 3: Cross multiply
    10,827,117,571.50x = 17,228,072,952 × 17,228,072,952
  4. Step 4: Simplify right side
    10,827,117,571.50x = 296,806,497,639,434,027,008
  5. Step 5: Solve for x
    x = 296,806,497,639,434,027,008/10,827,117,571.50
  6. Step 6: Final answer
    x = 27,413,251,558.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.