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Finding the Third Proportional to 5,877,410 and 9,078,147

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Solution

The third proportional to 5,877,410 and 9,078,147 is: 14,021,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,410 : 9,078,147 = 9,078,147 : x
  2. Step 2: Convert to fraction form
    5,877,410/9,078,147 = 9,078,147/x
  3. Step 3: Cross multiply
    5,877,410x = 9,078,147 × 9,078,147
  4. Step 4: Simplify right side
    5,877,410x = 82,412,752,953,609
  5. Step 5: Solve for x
    x = 82,412,752,953,609/5,877,410
  6. Step 6: Final answer
    x = 14,021,950.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.