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Finding the Third Proportional to 2,338,786,002 and 5,200,487,664

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Solution

The third proportional to 2,338,786,002 and 5,200,487,664 is: 11,563,722,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,786,002 : 5,200,487,664 = 5,200,487,664 : x
  2. Step 2: Convert to fraction form
    2,338,786,002/5,200,487,664 = 5,200,487,664/x
  3. Step 3: Cross multiply
    2,338,786,002x = 5,200,487,664 × 5,200,487,664
  4. Step 4: Simplify right side
    2,338,786,002x = 27,045,071,943,416,176,640
  5. Step 5: Solve for x
    x = 27,045,071,943,416,176,640/2,338,786,002
  6. Step 6: Final answer
    x = 11,563,722,341.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.