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Finding the Third Proportional to 375,022,932.75 and 822,656,452.50

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Solution

The third proportional to 375,022,932.75 and 822,656,452.50 is: 1,804,592,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,022,932.75 : 822,656,452.50 = 822,656,452.50 : x
  2. Step 2: Convert to fraction form
    375,022,932.75/822,656,452.50 = 822,656,452.50/x
  3. Step 3: Cross multiply
    375,022,932.75x = 822,656,452.50 × 822,656,452.50
  4. Step 4: Simplify right side
    375,022,932.75x = 676,763,638,839,884,800
  5. Step 5: Solve for x
    x = 676,763,638,839,884,800/375,022,932.75
  6. Step 6: Final answer
    x = 1,804,592,678.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.