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Finding the Third Proportional to 875,451,429 and 1,366,178,368.50

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Solution

The third proportional to 875,451,429 and 1,366,178,368.50 is: 2,131,978,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,451,429 : 1,366,178,368.50 = 1,366,178,368.50 : x
  2. Step 2: Convert to fraction form
    875,451,429/1,366,178,368.50 = 1,366,178,368.50/x
  3. Step 3: Cross multiply
    875,451,429x = 1,366,178,368.50 × 1,366,178,368.50
  4. Step 4: Simplify right side
    875,451,429x = 1,866,443,334,557,321,728
  5. Step 5: Solve for x
    x = 1,866,443,334,557,321,728/875,451,429
  6. Step 6: Final answer
    x = 2,131,978,168.90

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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.