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Finding the Third Proportional to 35,094,910 and 75,738,816

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Solution

The third proportional to 35,094,910 and 75,738,816 is: 163,452,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,094,910 : 75,738,816 = 75,738,816 : x
  2. Step 2: Convert to fraction form
    35,094,910/75,738,816 = 75,738,816/x
  3. Step 3: Cross multiply
    35,094,910x = 75,738,816 × 75,738,816
  4. Step 4: Simplify right side
    35,094,910x = 5,736,368,249,081,856
  5. Step 5: Solve for x
    x = 5,736,368,249,081,856/35,094,910
  6. Step 6: Final answer
    x = 163,452,997.86

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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.