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Finding the Third Proportional to 4,735,664 and 6,926,349

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Solution

The third proportional to 4,735,664 and 6,926,349 is: 10,130,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,664 : 6,926,349 = 6,926,349 : x
  2. Step 2: Convert to fraction form
    4,735,664/6,926,349 = 6,926,349/x
  3. Step 3: Cross multiply
    4,735,664x = 6,926,349 × 6,926,349
  4. Step 4: Simplify right side
    4,735,664x = 47,974,310,469,801
  5. Step 5: Solve for x
    x = 47,974,310,469,801/4,735,664
  6. Step 6: Final answer
    x = 10,130,429.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.