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Finding the Third Proportional to 14,405,709 and 21,974,421

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Solution

The third proportional to 14,405,709 and 21,974,421 is: 33,519,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405,709 : 21,974,421 = 21,974,421 : x
  2. Step 2: Convert to fraction form
    14,405,709/21,974,421 = 21,974,421/x
  3. Step 3: Cross multiply
    14,405,709x = 21,974,421 × 21,974,421
  4. Step 4: Simplify right side
    14,405,709x = 482,875,178,285,241
  5. Step 5: Solve for x
    x = 482,875,178,285,241/14,405,709
  6. Step 6: Final answer
    x = 33,519,709.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.