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Finding the Third Proportional to 12,775,816,472 and 27,955,971,672

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Solution

The third proportional to 12,775,816,472 and 27,955,971,672 is: 61,173,104,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,816,472 : 27,955,971,672 = 27,955,971,672 : x
  2. Step 2: Convert to fraction form
    12,775,816,472/27,955,971,672 = 27,955,971,672/x
  3. Step 3: Cross multiply
    12,775,816,472x = 27,955,971,672 × 27,955,971,672
  4. Step 4: Simplify right side
    12,775,816,472x = 781,536,352,125,666,459,648
  5. Step 5: Solve for x
    x = 781,536,352,125,666,459,648/12,775,816,472
  6. Step 6: Final answer
    x = 61,173,104,187.78

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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.