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Finding the Third Proportional to 382,519,404 and 811,007,011

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Solution

The third proportional to 382,519,404 and 811,007,011 is: 1,719,474,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,519,404 : 811,007,011 = 811,007,011 : x
  2. Step 2: Convert to fraction form
    382,519,404/811,007,011 = 811,007,011/x
  3. Step 3: Cross multiply
    382,519,404x = 811,007,011 × 811,007,011
  4. Step 4: Simplify right side
    382,519,404x = 657,732,371,891,154,176
  5. Step 5: Solve for x
    x = 657,732,371,891,154,176/382,519,404
  6. Step 6: Final answer
    x = 1,719,474,528.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.