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Finding the Third Proportional to 1,949,244,621 and 4,255,683,924

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Solution

The third proportional to 1,949,244,621 and 4,255,683,924 is: 9,291,212,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,244,621 : 4,255,683,924 = 4,255,683,924 : x
  2. Step 2: Convert to fraction form
    1,949,244,621/4,255,683,924 = 4,255,683,924/x
  3. Step 3: Cross multiply
    1,949,244,621x = 4,255,683,924 × 4,255,683,924
  4. Step 4: Simplify right side
    1,949,244,621x = 18,110,845,660,992,036,864
  5. Step 5: Solve for x
    x = 18,110,845,660,992,036,864/1,949,244,621
  6. Step 6: Final answer
    x = 9,291,212,332.14

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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.