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Finding the Third Proportional to 9,354,645 and 20,002,014

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Solution

The third proportional to 9,354,645 and 20,002,014 is: 42,768,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354,645 : 20,002,014 = 20,002,014 : x
  2. Step 2: Convert to fraction form
    9,354,645/20,002,014 = 20,002,014/x
  3. Step 3: Cross multiply
    9,354,645x = 20,002,014 × 20,002,014
  4. Step 4: Simplify right side
    9,354,645x = 400,080,564,056,196
  5. Step 5: Solve for x
    x = 400,080,564,056,196/9,354,645
  6. Step 6: Final answer
    x = 42,768,118.30

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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.