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Finding the Third Proportional to 133,503,817 and 277,239,374

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Solution

The third proportional to 133,503,817 and 277,239,374 is: 575,726,389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,503,817 : 277,239,374 = 277,239,374 : x
  2. Step 2: Convert to fraction form
    133,503,817/277,239,374 = 277,239,374/x
  3. Step 3: Cross multiply
    133,503,817x = 277,239,374 × 277,239,374
  4. Step 4: Simplify right side
    133,503,817x = 76,861,670,495,911,872
  5. Step 5: Solve for x
    x = 76,861,670,495,911,872/133,503,817
  6. Step 6: Final answer
    x = 575,726,389.13

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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.