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Finding the Third Proportional to 912,431,741,901.75 and 1,899,952,805,058.80

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Solution

The third proportional to 912,431,741,901.75 and 1,899,952,805,058.80 is: 3,956,263,790,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,431,741,901.75 : 1,899,952,805,058.80 = 1,899,952,805,058.80 : x
  2. Step 2: Convert to fraction form
    912,431,741,901.75/1,899,952,805,058.80 = 1,899,952,805,058.80/x
  3. Step 3: Cross multiply
    912,431,741,901.75x = 1,899,952,805,058.80 × 1,899,952,805,058.80
  4. Step 4: Simplify right side
    912,431,741,901.75x = 3,609,820,661,450,802,477,400,064
  5. Step 5: Solve for x
    x = 3,609,820,661,450,802,477,400,064/912,431,741,901.75
  6. Step 6: Final answer
    x = 3,956,263,790,129.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.