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Finding the Third Proportional to 2,208,403,108 and 4,727,029,736

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Solution

The third proportional to 2,208,403,108 and 4,727,029,736 is: 10,118,084,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208,403,108 : 4,727,029,736 = 4,727,029,736 : x
  2. Step 2: Convert to fraction form
    2,208,403,108/4,727,029,736 = 4,727,029,736/x
  3. Step 3: Cross multiply
    2,208,403,108x = 4,727,029,736 × 4,727,029,736
  4. Step 4: Simplify right side
    2,208,403,108x = 22,344,810,125,028,229,120
  5. Step 5: Solve for x
    x = 22,344,810,125,028,229,120/2,208,403,108
  6. Step 6: Final answer
    x = 10,118,084,893.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.