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Finding the Third Proportional to 911,969,512.50 and 1,849,315,641

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Solution

The third proportional to 911,969,512.50 and 1,849,315,641 is: 3,750,090,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,969,512.50 : 1,849,315,641 = 1,849,315,641 : x
  2. Step 2: Convert to fraction form
    911,969,512.50/1,849,315,641 = 1,849,315,641/x
  3. Step 3: Cross multiply
    911,969,512.50x = 1,849,315,641 × 1,849,315,641
  4. Step 4: Simplify right side
    911,969,512.50x = 3,419,968,340,047,240,704
  5. Step 5: Solve for x
    x = 3,419,968,340,047,240,704/911,969,512.50
  6. Step 6: Final answer
    x = 3,750,090,647.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.