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Finding the Third Proportional to 843,938,984,535.75 and 1,810,389,502,258.80

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Solution

The third proportional to 843,938,984,535.75 and 1,810,389,502,258.80 is: 3,883,586,621,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,938,984,535.75 : 1,810,389,502,258.80 = 1,810,389,502,258.80 : x
  2. Step 2: Convert to fraction form
    843,938,984,535.75/1,810,389,502,258.80 = 1,810,389,502,258.80/x
  3. Step 3: Cross multiply
    843,938,984,535.75x = 1,810,389,502,258.80 × 1,810,389,502,258.80
  4. Step 4: Simplify right side
    843,938,984,535.75x = 3,277,510,149,888,865,915,109,376
  5. Step 5: Solve for x
    x = 3,277,510,149,888,865,915,109,376/843,938,984,535.75
  6. Step 6: Final answer
    x = 3,883,586,621,717.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.