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Finding the Third Proportional to 875,451,378 and 1,366,178,283

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Solution

The third proportional to 875,451,378 and 1,366,178,283 is: 2,131,978,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,451,378 : 1,366,178,283 = 1,366,178,283 : x
  2. Step 2: Convert to fraction form
    875,451,378/1,366,178,283 = 1,366,178,283/x
  3. Step 3: Cross multiply
    875,451,378x = 1,366,178,283 × 1,366,178,283
  4. Step 4: Simplify right side
    875,451,378x = 1,866,443,100,940,828,160
  5. Step 5: Solve for x
    x = 1,866,443,100,940,828,160/875,451,378
  6. Step 6: Final answer
    x = 2,131,978,026.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.