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Finding the Third Proportional to 704,961,612 and 1,527,040,152

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Solution

The third proportional to 704,961,612 and 1,527,040,152 is: 3,307,771,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,961,612 : 1,527,040,152 = 1,527,040,152 : x
  2. Step 2: Convert to fraction form
    704,961,612/1,527,040,152 = 1,527,040,152/x
  3. Step 3: Cross multiply
    704,961,612x = 1,527,040,152 × 1,527,040,152
  4. Step 4: Simplify right side
    704,961,612x = 2,331,851,625,820,183,040
  5. Step 5: Solve for x
    x = 2,331,851,625,820,183,040/704,961,612
  6. Step 6: Final answer
    x = 3,307,771,070.26

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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.