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Finding the Third Proportional to 9,985,416 and 21,487,692

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Solution

The third proportional to 9,985,416 and 21,487,692 is: 46,239,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985,416 : 21,487,692 = 21,487,692 : x
  2. Step 2: Convert to fraction form
    9,985,416/21,487,692 = 21,487,692/x
  3. Step 3: Cross multiply
    9,985,416x = 21,487,692 × 21,487,692
  4. Step 4: Simplify right side
    9,985,416x = 461,720,907,486,864
  5. Step 5: Solve for x
    x = 461,720,907,486,864/9,985,416
  6. Step 6: Final answer
    x = 46,239,526.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.