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Finding the Third Proportional to 699,701,039 and 1,619,852,170.50

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Solution

The third proportional to 699,701,039 and 1,619,852,170.50 is: 3,750,060,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,701,039 : 1,619,852,170.50 = 1,619,852,170.50 : x
  2. Step 2: Convert to fraction form
    699,701,039/1,619,852,170.50 = 1,619,852,170.50/x
  3. Step 3: Cross multiply
    699,701,039x = 1,619,852,170.50 × 1,619,852,170.50
  4. Step 4: Simplify right side
    699,701,039x = 2,623,921,054,273,561,088
  5. Step 5: Solve for x
    x = 2,623,921,054,273,561,088/699,701,039
  6. Step 6: Final answer
    x = 3,750,060,251.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.