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Finding the Third Proportional to 151,330,002 and 314,737,674

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Solution

The third proportional to 151,330,002 and 314,737,674 is: 654,594,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,330,002 : 314,737,674 = 314,737,674 : x
  2. Step 2: Convert to fraction form
    151,330,002/314,737,674 = 314,737,674/x
  3. Step 3: Cross multiply
    151,330,002x = 314,737,674 × 314,737,674
  4. Step 4: Simplify right side
    151,330,002x = 99,059,803,434,930,272
  5. Step 5: Solve for x
    x = 99,059,803,434,930,272/151,330,002
  6. Step 6: Final answer
    x = 654,594,608.64

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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.