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Finding the Third Proportional to 7,645,428 and 16,424,172

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Solution

The third proportional to 7,645,428 and 16,424,172 is: 35,282,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645,428 : 16,424,172 = 16,424,172 : x
  2. Step 2: Convert to fraction form
    7,645,428/16,424,172 = 16,424,172/x
  3. Step 3: Cross multiply
    7,645,428x = 16,424,172 × 16,424,172
  4. Step 4: Simplify right side
    7,645,428x = 269,753,425,885,584
  5. Step 5: Solve for x
    x = 269,753,425,885,584/7,645,428
  6. Step 6: Final answer
    x = 35,282,972.50

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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.