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Finding the Third Proportional to 37,962,821 and 56,695,464

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Solution

The third proportional to 37,962,821 and 56,695,464 is: 84,671,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,962,821 : 56,695,464 = 56,695,464 : x
  2. Step 2: Convert to fraction form
    37,962,821/56,695,464 = 56,695,464/x
  3. Step 3: Cross multiply
    37,962,821x = 56,695,464 × 56,695,464
  4. Step 4: Simplify right side
    37,962,821x = 3,214,375,638,175,296
  5. Step 5: Solve for x
    x = 3,214,375,638,175,296/37,962,821
  6. Step 6: Final answer
    x = 84,671,674.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.