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Finding the Third Proportional to 745,101,648 and 1,567,418,328

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Solution

The third proportional to 745,101,648 and 1,567,418,328 is: 3,297,268,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,101,648 : 1,567,418,328 = 1,567,418,328 : x
  2. Step 2: Convert to fraction form
    745,101,648/1,567,418,328 = 1,567,418,328/x
  3. Step 3: Cross multiply
    745,101,648x = 1,567,418,328 × 1,567,418,328
  4. Step 4: Simplify right side
    745,101,648x = 2,456,800,214,950,315,520
  5. Step 5: Solve for x
    x = 2,456,800,214,950,315,520/745,101,648
  6. Step 6: Final answer
    x = 3,297,268,529.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.