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Finding the Third Proportional to 1,224,138,027 and 2,656,111,017

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Solution

The third proportional to 1,224,138,027 and 2,656,111,017 is: 5,763,178,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,138,027 : 2,656,111,017 = 2,656,111,017 : x
  2. Step 2: Convert to fraction form
    1,224,138,027/2,656,111,017 = 2,656,111,017/x
  3. Step 3: Cross multiply
    1,224,138,027x = 2,656,111,017 × 2,656,111,017
  4. Step 4: Simplify right side
    1,224,138,027x = 7,054,925,734,628,773,888
  5. Step 5: Solve for x
    x = 7,054,925,734,628,773,888/1,224,138,027
  6. Step 6: Final answer
    x = 5,763,178,317.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.