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Finding the Third Proportional to 1,602,597,264.75 and 3,531,238,193.25

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Solution

The third proportional to 1,602,597,264.75 and 3,531,238,193.25 is: 7,780,896,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,597,264.75 : 3,531,238,193.25 = 3,531,238,193.25 : x
  2. Step 2: Convert to fraction form
    1,602,597,264.75/3,531,238,193.25 = 3,531,238,193.25/x
  3. Step 3: Cross multiply
    1,602,597,264.75x = 3,531,238,193.25 × 3,531,238,193.25
  4. Step 4: Simplify right side
    1,602,597,264.75x = 12,469,643,177,467,525,120
  5. Step 5: Solve for x
    x = 12,469,643,177,467,525,120/1,602,597,264.75
  6. Step 6: Final answer
    x = 7,780,896,331.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.