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Finding the Third Proportional to 1,751,360,559 and 3,807,563,646

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Solution

The third proportional to 1,751,360,559 and 3,807,563,646 is: 8,277,873,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751,360,559 : 3,807,563,646 = 3,807,563,646 : x
  2. Step 2: Convert to fraction form
    1,751,360,559/3,807,563,646 = 3,807,563,646/x
  3. Step 3: Cross multiply
    1,751,360,559x = 3,807,563,646 × 3,807,563,646
  4. Step 4: Simplify right side
    1,751,360,559x = 14,497,540,918,340,812,800
  5. Step 5: Solve for x
    x = 14,497,540,918,340,812,800/1,751,360,559
  6. Step 6: Final answer
    x = 8,277,873,361.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.