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Finding the Third Proportional to 333,831,072 and 717,024,156

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Solution

The third proportional to 333,831,072 and 717,024,156 is: 1,540,071,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,831,072 : 717,024,156 = 717,024,156 : x
  2. Step 2: Convert to fraction form
    333,831,072/717,024,156 = 717,024,156/x
  3. Step 3: Cross multiply
    333,831,072x = 717,024,156 × 717,024,156
  4. Step 4: Simplify right side
    333,831,072x = 514,123,640,287,512,320
  5. Step 5: Solve for x
    x = 514,123,640,287,512,320/333,831,072
  6. Step 6: Final answer
    x = 1,540,071,261.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.