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Finding the Third Proportional to 4,651,008 and 9,864,912

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Solution

The third proportional to 4,651,008 and 9,864,912 is: 20,923,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,008 : 9,864,912 = 9,864,912 : x
  2. Step 2: Convert to fraction form
    4,651,008/9,864,912 = 9,864,912/x
  3. Step 3: Cross multiply
    4,651,008x = 9,864,912 × 9,864,912
  4. Step 4: Simplify right side
    4,651,008x = 97,316,488,767,744
  5. Step 5: Solve for x
    x = 97,316,488,767,744/4,651,008
  6. Step 6: Final answer
    x = 20,923,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.