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Finding the Third Proportional to 11,637,770,364 and 25,528,673,016

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Solution

The third proportional to 11,637,770,364 and 25,528,673,016 is: 55,999,828,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637,770,364 : 25,528,673,016 = 25,528,673,016 : x
  2. Step 2: Convert to fraction form
    11,637,770,364/25,528,673,016 = 25,528,673,016/x
  3. Step 3: Cross multiply
    11,637,770,364x = 25,528,673,016 × 25,528,673,016
  4. Step 4: Simplify right side
    11,637,770,364x = 651,713,145,957,846,482,944
  5. Step 5: Solve for x
    x = 651,713,145,957,846,482,944/11,637,770,364
  6. Step 6: Final answer
    x = 55,999,828,624.72

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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.