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Finding the Third Proportional to 1,560,753,130 and 3,641,883,081

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Solution

The third proportional to 1,560,753,130 and 3,641,883,081 is: 8,498,020,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,753,130 : 3,641,883,081 = 3,641,883,081 : x
  2. Step 2: Convert to fraction form
    1,560,753,130/3,641,883,081 = 3,641,883,081/x
  3. Step 3: Cross multiply
    1,560,753,130x = 3,641,883,081 × 3,641,883,081
  4. Step 4: Simplify right side
    1,560,753,130x = 13,263,312,375,674,052,608
  5. Step 5: Solve for x
    x = 13,263,312,375,674,052,608/1,560,753,130
  6. Step 6: Final answer
    x = 8,498,020,680.36

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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.