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Finding the Third Proportional to 27,808,220 and 40,716,836

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Solution

The third proportional to 27,808,220 and 40,716,836 is: 59,617,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808,220 : 40,716,836 = 40,716,836 : x
  2. Step 2: Convert to fraction form
    27,808,220/40,716,836 = 40,716,836/x
  3. Step 3: Cross multiply
    27,808,220x = 40,716,836 × 40,716,836
  4. Step 4: Simplify right side
    27,808,220x = 1,657,860,733,850,896
  5. Step 5: Solve for x
    x = 1,657,860,733,850,896/27,808,220
  6. Step 6: Final answer
    x = 59,617,650.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.