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Finding the Third Proportional to 122,442,906 and 266,408,228

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Solution

The third proportional to 122,442,906 and 266,408,228 is: 579,644,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,906 : 266,408,228 = 266,408,228 : x
  2. Step 2: Convert to fraction form
    122,442,906/266,408,228 = 266,408,228/x
  3. Step 3: Cross multiply
    122,442,906x = 266,408,228 × 266,408,228
  4. Step 4: Simplify right side
    122,442,906x = 70,973,343,946,099,984
  5. Step 5: Solve for x
    x = 70,973,343,946,099,984/122,442,906
  6. Step 6: Final answer
    x = 579,644,393.17

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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.