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Finding the Third Proportional to 817,062,570 and 1,692,263,191.50

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Solution

The third proportional to 817,062,570 and 1,692,263,191.50 is: 3,504,939,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,062,570 : 1,692,263,191.50 = 1,692,263,191.50 : x
  2. Step 2: Convert to fraction form
    817,062,570/1,692,263,191.50 = 1,692,263,191.50/x
  3. Step 3: Cross multiply
    817,062,570x = 1,692,263,191.50 × 1,692,263,191.50
  4. Step 4: Simplify right side
    817,062,570x = 2,863,754,709,305,765,888
  5. Step 5: Solve for x
    x = 2,863,754,709,305,765,888/817,062,570
  6. Step 6: Final answer
    x = 3,504,939,296.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.