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Finding the Third Proportional to 5,144,306 and 7,894,326

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Solution

The third proportional to 5,144,306 and 7,894,326 is: 12,114,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144,306 : 7,894,326 = 7,894,326 : x
  2. Step 2: Convert to fraction form
    5,144,306/7,894,326 = 7,894,326/x
  3. Step 3: Cross multiply
    5,144,306x = 7,894,326 × 7,894,326
  4. Step 4: Simplify right side
    5,144,306x = 62,320,382,994,276
  5. Step 5: Solve for x
    x = 62,320,382,994,276/5,144,306
  6. Step 6: Final answer
    x = 12,114,439.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.