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Finding the Third Proportional to 875,451,441 and 1,366,178,386.50

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Solution

The third proportional to 875,451,441 and 1,366,178,386.50 is: 2,131,978,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,451,441 : 1,366,178,386.50 = 1,366,178,386.50 : x
  2. Step 2: Convert to fraction form
    875,451,441/1,366,178,386.50 = 1,366,178,386.50/x
  3. Step 3: Cross multiply
    875,451,441x = 1,366,178,386.50 × 1,366,178,386.50
  4. Step 4: Simplify right side
    875,451,441x = 1,866,443,383,739,743,488
  5. Step 5: Solve for x
    x = 1,866,443,383,739,743,488/875,451,441
  6. Step 6: Final answer
    x = 2,131,978,195.85

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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.