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Finding the Third Proportional to 122,806,020 and 266,332,544

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Solution

The third proportional to 122,806,020 and 266,332,544 is: 577,602,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806,020 : 266,332,544 = 266,332,544 : x
  2. Step 2: Convert to fraction form
    122,806,020/266,332,544 = 266,332,544/x
  3. Step 3: Cross multiply
    122,806,020x = 266,332,544 × 266,332,544
  4. Step 4: Simplify right side
    122,806,020x = 70,933,023,993,511,936
  5. Step 5: Solve for x
    x = 70,933,023,993,511,936/122,806,020
  6. Step 6: Final answer
    x = 577,602,172.87

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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.