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Finding the Third Proportional to 382,519,459.13 and 811,007,137.13

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Solution

The third proportional to 382,519,459.13 and 811,007,137.13 is: 1,719,474,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,519,459.13 : 811,007,137.13 = 811,007,137.13 : x
  2. Step 2: Convert to fraction form
    382,519,459.13/811,007,137.13 = 811,007,137.13/x
  3. Step 3: Cross multiply
    382,519,459.13x = 811,007,137.13 × 811,007,137.13
  4. Step 4: Simplify right side
    382,519,459.13x = 657,732,576,467,688,576
  5. Step 5: Solve for x
    x = 657,732,576,467,688,576/382,519,459.13
  6. Step 6: Final answer
    x = 1,719,474,815.67

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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.