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Finding the Third Proportional to 528,405,108 and 1,124,834,664

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Solution

The third proportional to 528,405,108 and 1,124,834,664 is: 2,394,475,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,405,108 : 1,124,834,664 = 1,124,834,664 : x
  2. Step 2: Convert to fraction form
    528,405,108/1,124,834,664 = 1,124,834,664/x
  3. Step 3: Cross multiply
    528,405,108x = 1,124,834,664 × 1,124,834,664
  4. Step 4: Simplify right side
    528,405,108x = 1,265,253,021,335,992,832
  5. Step 5: Solve for x
    x = 1,265,253,021,335,992,832/528,405,108
  6. Step 6: Final answer
    x = 2,394,475,379.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.