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Finding the Third Proportional to 1,949,244,617 and 4,255,683,916

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Solution

The third proportional to 1,949,244,617 and 4,255,683,916 is: 9,291,212,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,244,617 : 4,255,683,916 = 4,255,683,916 : x
  2. Step 2: Convert to fraction form
    1,949,244,617/4,255,683,916 = 4,255,683,916/x
  3. Step 3: Cross multiply
    1,949,244,617x = 4,255,683,916 × 4,255,683,916
  4. Step 4: Simplify right side
    1,949,244,617x = 18,110,845,592,901,095,424
  5. Step 5: Solve for x
    x = 18,110,845,592,901,095,424/1,949,244,617
  6. Step 6: Final answer
    x = 9,291,212,316.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.