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Finding the Third Proportional to 122,552,600 and 264,472,237

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Solution

The third proportional to 122,552,600 and 264,472,237 is: 570,739,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,552,600 : 264,472,237 = 264,472,237 : x
  2. Step 2: Convert to fraction form
    122,552,600/264,472,237 = 264,472,237/x
  3. Step 3: Cross multiply
    122,552,600x = 264,472,237 × 264,472,237
  4. Step 4: Simplify right side
    122,552,600x = 69,945,564,143,784,168
  5. Step 5: Solve for x
    x = 69,945,564,143,784,168/122,552,600
  6. Step 6: Final answer
    x = 570,739,128.70

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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.