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Finding the Third Proportional to 21,971,984 and 32,171,416

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Solution

The third proportional to 21,971,984 and 32,171,416 is: 47,105,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971,984 : 32,171,416 = 32,171,416 : x
  2. Step 2: Convert to fraction form
    21,971,984/32,171,416 = 32,171,416/x
  3. Step 3: Cross multiply
    21,971,984x = 32,171,416 × 32,171,416
  4. Step 4: Simplify right side
    21,971,984x = 1,035,000,007,445,056
  5. Step 5: Solve for x
    x = 1,035,000,007,445,056/21,971,984
  6. Step 6: Final answer
    x = 47,105,441.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.