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Finding the Third Proportional to 40,569,904 and 90,210,656

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Solution

The third proportional to 40,569,904 and 90,210,656 is: 200,591,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,569,904 : 90,210,656 = 90,210,656 : x
  2. Step 2: Convert to fraction form
    40,569,904/90,210,656 = 90,210,656/x
  3. Step 3: Cross multiply
    40,569,904x = 90,210,656 × 90,210,656
  4. Step 4: Simplify right side
    40,569,904x = 8,137,962,455,950,336
  5. Step 5: Solve for x
    x = 8,137,962,455,950,336/40,569,904
  6. Step 6: Final answer
    x = 200,591,119.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.