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Finding the Third Proportional to 1,741,649,982 and 3,760,358,628

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Solution

The third proportional to 1,741,649,982 and 3,760,358,628 is: 8,118,908,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,649,982 : 3,760,358,628 = 3,760,358,628 : x
  2. Step 2: Convert to fraction form
    1,741,649,982/3,760,358,628 = 3,760,358,628/x
  3. Step 3: Cross multiply
    1,741,649,982x = 3,760,358,628 × 3,760,358,628
  4. Step 4: Simplify right side
    1,741,649,982x = 14,140,297,011,174,041,600
  5. Step 5: Solve for x
    x = 14,140,297,011,174,041,600/1,741,649,982
  6. Step 6: Final answer
    x = 8,118,908,596.63

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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.