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Finding the Third Proportional to 763,085,847 and 1,652,942,688

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Solution

The third proportional to 763,085,847 and 1,652,942,688 is: 3,580,487,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,085,847 : 1,652,942,688 = 1,652,942,688 : x
  2. Step 2: Convert to fraction form
    763,085,847/1,652,942,688 = 1,652,942,688/x
  3. Step 3: Cross multiply
    763,085,847x = 1,652,942,688 × 1,652,942,688
  4. Step 4: Simplify right side
    763,085,847x = 2,732,219,529,812,665,344
  5. Step 5: Solve for x
    x = 2,732,219,529,812,665,344/763,085,847
  6. Step 6: Final answer
    x = 3,580,487,753.19

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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.