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Finding the Third Proportional to 10,953,476 and 24,425,512

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Solution

The third proportional to 10,953,476 and 24,425,512 is: 54,467,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953,476 : 24,425,512 = 24,425,512 : x
  2. Step 2: Convert to fraction form
    10,953,476/24,425,512 = 24,425,512/x
  3. Step 3: Cross multiply
    10,953,476x = 24,425,512 × 24,425,512
  4. Step 4: Simplify right side
    10,953,476x = 596,605,636,462,144
  5. Step 5: Solve for x
    x = 596,605,636,462,144/10,953,476
  6. Step 6: Final answer
    x = 54,467,242.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.