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Finding the Third Proportional to 1,748,524,395 and 2,854,880,712

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Solution

The third proportional to 1,748,524,395 and 2,854,880,712 is: 4,661,269,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,524,395 : 2,854,880,712 = 2,854,880,712 : x
  2. Step 2: Convert to fraction form
    1,748,524,395/2,854,880,712 = 2,854,880,712/x
  3. Step 3: Cross multiply
    1,748,524,395x = 2,854,880,712 × 2,854,880,712
  4. Step 4: Simplify right side
    1,748,524,395x = 8,150,343,879,749,626,880
  5. Step 5: Solve for x
    x = 8,150,343,879,749,626,880/1,748,524,395
  6. Step 6: Final answer
    x = 4,661,269,755.83

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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.