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Finding the Third Proportional to 911,591,039 and 2,110,201,868.50

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Solution

The third proportional to 911,591,039 and 2,110,201,868.50 is: 4,884,813,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,591,039 : 2,110,201,868.50 = 2,110,201,868.50 : x
  2. Step 2: Convert to fraction form
    911,591,039/2,110,201,868.50 = 2,110,201,868.50/x
  3. Step 3: Cross multiply
    911,591,039x = 2,110,201,868.50 × 2,110,201,868.50
  4. Step 4: Simplify right side
    911,591,039x = 4,452,951,925,820,891,136
  5. Step 5: Solve for x
    x = 4,452,951,925,820,891,136/911,591,039
  6. Step 6: Final answer
    x = 4,884,813,184.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.