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Finding the Third Proportional to 763,085,830 and 1,652,942,664

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Solution

The third proportional to 763,085,830 and 1,652,942,664 is: 3,580,487,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,085,830 : 1,652,942,664 = 1,652,942,664 : x
  2. Step 2: Convert to fraction form
    763,085,830/1,652,942,664 = 1,652,942,664/x
  3. Step 3: Cross multiply
    763,085,830x = 1,652,942,664 × 1,652,942,664
  4. Step 4: Simplify right side
    763,085,830x = 2,732,219,450,471,416,832
  5. Step 5: Solve for x
    x = 2,732,219,450,471,416,832/763,085,830
  6. Step 6: Final answer
    x = 3,580,487,728.98

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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.