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Finding the Third Proportional to 1,399,286,174 and 3,062,168,374

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Solution

The third proportional to 1,399,286,174 and 3,062,168,374 is: 6,701,184,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,286,174 : 3,062,168,374 = 3,062,168,374 : x
  2. Step 2: Convert to fraction form
    1,399,286,174/3,062,168,374 = 3,062,168,374/x
  3. Step 3: Cross multiply
    1,399,286,174x = 3,062,168,374 × 3,062,168,374
  4. Step 4: Simplify right side
    1,399,286,174x = 9,376,875,150,725,804,032
  5. Step 5: Solve for x
    x = 9,376,875,150,725,804,032/1,399,286,174
  6. Step 6: Final answer
    x = 6,701,184,736.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.