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Finding the Third Proportional to 1,560,753,124.88 and 3,641,883,069.38

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Solution

The third proportional to 1,560,753,124.88 and 3,641,883,069.38 is: 8,498,020,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,753,124.88 : 3,641,883,069.38 = 3,641,883,069.38 : x
  2. Step 2: Convert to fraction form
    1,560,753,124.88/3,641,883,069.38 = 3,641,883,069.38/x
  3. Step 3: Cross multiply
    1,560,753,124.88x = 3,641,883,069.38 × 3,641,883,069.38
  4. Step 4: Simplify right side
    1,560,753,124.88x = 13,263,312,291,000,270,848
  5. Step 5: Solve for x
    x = 13,263,312,291,000,270,848/1,560,753,124.88
  6. Step 6: Final answer
    x = 8,498,020,654.01

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.