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Finding the Third Proportional to 3,564,848 and 7,423,456

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Solution

The third proportional to 3,564,848 and 7,423,456 is: 15,458,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,848 : 7,423,456 = 7,423,456 : x
  2. Step 2: Convert to fraction form
    3,564,848/7,423,456 = 7,423,456/x
  3. Step 3: Cross multiply
    3,564,848x = 7,423,456 × 7,423,456
  4. Step 4: Simplify right side
    3,564,848x = 55,107,698,983,936
  5. Step 5: Solve for x
    x = 55,107,698,983,936/3,564,848
  6. Step 6: Final answer
    x = 15,458,639.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.