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Finding the Third Proportional to 1,167,141,360 and 2,527,963,872

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Solution

The third proportional to 1,167,141,360 and 2,527,963,872 is: 5,475,430,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,141,360 : 2,527,963,872 = 2,527,963,872 : x
  2. Step 2: Convert to fraction form
    1,167,141,360/2,527,963,872 = 2,527,963,872/x
  3. Step 3: Cross multiply
    1,167,141,360x = 2,527,963,872 × 2,527,963,872
  4. Step 4: Simplify right side
    1,167,141,360x = 6,390,601,338,137,232,384
  5. Step 5: Solve for x
    x = 6,390,601,338,137,232,384/1,167,141,360
  6. Step 6: Final answer
    x = 5,475,430,446.69

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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.