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Finding the Third Proportional to 735,315,723 and 1,586,833,408.50

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Solution

The third proportional to 735,315,723 and 1,586,833,408.50 is: 3,424,434,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,315,723 : 1,586,833,408.50 = 1,586,833,408.50 : x
  2. Step 2: Convert to fraction form
    735,315,723/1,586,833,408.50 = 1,586,833,408.50/x
  3. Step 3: Cross multiply
    735,315,723x = 1,586,833,408.50 × 1,586,833,408.50
  4. Step 4: Simplify right side
    735,315,723x = 2,518,040,266,331,727,872
  5. Step 5: Solve for x
    x = 2,518,040,266,331,727,872/735,315,723
  6. Step 6: Final answer
    x = 3,424,434,141.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.