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Finding the Third Proportional to 53,622,568,320 and 112,802,052,864

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Solution

The third proportional to 53,622,568,320 and 112,802,052,864 is: 237,293,802,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,622,568,320 : 112,802,052,864 = 112,802,052,864 : x
  2. Step 2: Convert to fraction form
    53,622,568,320/112,802,052,864 = 112,802,052,864/x
  3. Step 3: Cross multiply
    53,622,568,320x = 112,802,052,864 × 112,802,052,864
  4. Step 4: Simplify right side
    53,622,568,320x = 12,724,303,130,332,651,061,248
  5. Step 5: Solve for x
    x = 12,724,303,130,332,651,061,248/53,622,568,320
  6. Step 6: Final answer
    x = 237,293,802,385.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.