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Finding the Third Proportional to 14,451,864 and 21,135,231

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Solution

The third proportional to 14,451,864 and 21,135,231 is: 30,909,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451,864 : 21,135,231 = 21,135,231 : x
  2. Step 2: Convert to fraction form
    14,451,864/21,135,231 = 21,135,231/x
  3. Step 3: Cross multiply
    14,451,864x = 21,135,231 × 21,135,231
  4. Step 4: Simplify right side
    14,451,864x = 446,697,989,423,361
  5. Step 5: Solve for x
    x = 446,697,989,423,361/14,451,864
  6. Step 6: Final answer
    x = 30,909,368.47

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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.