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Finding the Third Proportional to 43,642,964 and 65,464,446

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Solution

The third proportional to 43,642,964 and 65,464,446 is: 98,196,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,642,964 : 65,464,446 = 65,464,446 : x
  2. Step 2: Convert to fraction form
    43,642,964/65,464,446 = 65,464,446/x
  3. Step 3: Cross multiply
    43,642,964x = 65,464,446 × 65,464,446
  4. Step 4: Simplify right side
    43,642,964x = 4,285,593,690,086,916
  5. Step 5: Solve for x
    x = 4,285,593,690,086,916/43,642,964
  6. Step 6: Final answer
    x = 98,196,669

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.