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Finding the Third Proportional to 851,060,962.13 and 1,334,942,552.25

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Solution

The third proportional to 851,060,962.13 and 1,334,942,552.25 is: 2,093,941,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,060,962.13 : 1,334,942,552.25 = 1,334,942,552.25 : x
  2. Step 2: Convert to fraction form
    851,060,962.13/1,334,942,552.25 = 1,334,942,552.25/x
  3. Step 3: Cross multiply
    851,060,962.13x = 1,334,942,552.25 × 1,334,942,552.25
  4. Step 4: Simplify right side
    851,060,962.13x = 1,782,071,617,807,744,000
  5. Step 5: Solve for x
    x = 1,782,071,617,807,744,000/851,060,962.13
  6. Step 6: Final answer
    x = 2,093,941,206.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.