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Finding the Third Proportional to 5,066,879,064 and 10,896,306,006

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Solution

The third proportional to 5,066,879,064 and 10,896,306,006 is: 23,432,468,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066,879,064 : 10,896,306,006 = 10,896,306,006 : x
  2. Step 2: Convert to fraction form
    5,066,879,064/10,896,306,006 = 10,896,306,006/x
  3. Step 3: Cross multiply
    5,066,879,064x = 10,896,306,006 × 10,896,306,006
  4. Step 4: Simplify right side
    5,066,879,064x = 118,729,484,576,391,675,904
  5. Step 5: Solve for x
    x = 118,729,484,576,391,675,904/5,066,879,064
  6. Step 6: Final answer
    x = 23,432,468,601.82

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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.