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Finding the Third Proportional to 1,746,254,343,951 and 3,800,002,444,695

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Solution

The third proportional to 1,746,254,343,951 and 3,800,002,444,695 is: 8,269,138,244,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,254,343,951 : 3,800,002,444,695 = 3,800,002,444,695 : x
  2. Step 2: Convert to fraction form
    1,746,254,343,951/3,800,002,444,695 = 3,800,002,444,695/x
  3. Step 3: Cross multiply
    1,746,254,343,951x = 3,800,002,444,695 × 3,800,002,444,695
  4. Step 4: Simplify right side
    1,746,254,343,951x = 14,440,018,579,687,976,938,242,048
  5. Step 5: Solve for x
    x = 14,440,018,579,687,976,938,242,048/1,746,254,343,951
  6. Step 6: Final answer
    x = 8,269,138,244,212.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.