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Finding the Third Proportional to 1,748,524,402 and 2,854,880,723

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Solution

The third proportional to 1,748,524,402 and 2,854,880,723 is: 4,661,269,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,524,402 : 2,854,880,723 = 2,854,880,723 : x
  2. Step 2: Convert to fraction form
    1,748,524,402/2,854,880,723 = 2,854,880,723/x
  3. Step 3: Cross multiply
    1,748,524,402x = 2,854,880,723 × 2,854,880,723
  4. Step 4: Simplify right side
    1,748,524,402x = 8,150,343,942,557,002,752
  5. Step 5: Solve for x
    x = 8,150,343,942,557,002,752/1,748,524,402
  6. Step 6: Final answer
    x = 4,661,269,773.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.