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Finding the Third Proportional to 1,473,124,719 and 3,191,442,512

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Solution

The third proportional to 1,473,124,719 and 3,191,442,512 is: 6,914,082,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,124,719 : 3,191,442,512 = 3,191,442,512 : x
  2. Step 2: Convert to fraction form
    1,473,124,719/3,191,442,512 = 3,191,442,512/x
  3. Step 3: Cross multiply
    1,473,124,719x = 3,191,442,512 × 3,191,442,512
  4. Step 4: Simplify right side
    1,473,124,719x = 10,185,305,307,400,869,888
  5. Step 5: Solve for x
    x = 10,185,305,307,400,869,888/1,473,124,719
  6. Step 6: Final answer
    x = 6,914,082,138.49

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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.