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Finding the Third Proportional to 3,746,078,243,503 and 5,960,746,904,973

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Solution

The third proportional to 3,746,078,243,503 and 5,960,746,904,973 is: 9,484,720,114,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746,078,243,503 : 5,960,746,904,973 = 5,960,746,904,973 : x
  2. Step 2: Convert to fraction form
    3,746,078,243,503/5,960,746,904,973 = 5,960,746,904,973/x
  3. Step 3: Cross multiply
    3,746,078,243,503x = 5,960,746,904,973 × 5,960,746,904,973
  4. Step 4: Simplify right side
    3,746,078,243,503x = 35,530,503,665,145,200,641,048,576
  5. Step 5: Solve for x
    x = 35,530,503,665,145,200,641,048,576/3,746,078,243,503
  6. Step 6: Final answer
    x = 9,484,720,114,099.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.