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Finding the Third Proportional to 1,661,493,612 and 3,545,369,592

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Solution

The third proportional to 1,661,493,612 and 3,545,369,592 is: 7,565,268,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,493,612 : 3,545,369,592 = 3,545,369,592 : x
  2. Step 2: Convert to fraction form
    1,661,493,612/3,545,369,592 = 3,545,369,592/x
  3. Step 3: Cross multiply
    1,661,493,612x = 3,545,369,592 × 3,545,369,592
  4. Step 4: Simplify right side
    1,661,493,612x = 12,569,645,543,878,246,400
  5. Step 5: Solve for x
    x = 12,569,645,543,878,246,400/1,661,493,612
  6. Step 6: Final answer
    x = 7,565,268,655.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.