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Finding the Third Proportional to 704,961,614 and 1,527,040,156

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Solution

The third proportional to 704,961,614 and 1,527,040,156 is: 3,307,771,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,961,614 : 1,527,040,156 = 1,527,040,156 : x
  2. Step 2: Convert to fraction form
    704,961,614/1,527,040,156 = 1,527,040,156/x
  3. Step 3: Cross multiply
    704,961,614x = 1,527,040,156 × 1,527,040,156
  4. Step 4: Simplify right side
    704,961,614x = 2,331,851,638,036,504,576
  5. Step 5: Solve for x
    x = 2,331,851,638,036,504,576/704,961,614
  6. Step 6: Final answer
    x = 3,307,771,078.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.