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Finding the Third Proportional to 228,107,944,422 and 474,988,214,661

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Solution

The third proportional to 228,107,944,422 and 474,988,214,661 is: 989,065,964,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,107,944,422 : 474,988,214,661 = 474,988,214,661 : x
  2. Step 2: Convert to fraction form
    228,107,944,422/474,988,214,661 = 474,988,214,661/x
  3. Step 3: Cross multiply
    228,107,944,422x = 474,988,214,661 × 474,988,214,661
  4. Step 4: Simplify right side
    228,107,944,422x = 225,613,804,066,844,211,937,280
  5. Step 5: Solve for x
    x = 225,613,804,066,844,211,937,280/228,107,944,422
  6. Step 6: Final answer
    x = 989,065,964,530.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.