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Finding the Third Proportional to 4,977,704 and 10,637,752

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Solution

The third proportional to 4,977,704 and 10,637,752 is: 22,733,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,704 : 10,637,752 = 10,637,752 : x
  2. Step 2: Convert to fraction form
    4,977,704/10,637,752 = 10,637,752/x
  3. Step 3: Cross multiply
    4,977,704x = 10,637,752 × 10,637,752
  4. Step 4: Simplify right side
    4,977,704x = 113,161,767,613,504
  5. Step 5: Solve for x
    x = 113,161,767,613,504/4,977,704
  6. Step 6: Final answer
    x = 22,733,727.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.