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Finding the Third Proportional to 12,939,834 and 27,697,362

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Solution

The third proportional to 12,939,834 and 27,697,362 is: 59,285,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939,834 : 27,697,362 = 27,697,362 : x
  2. Step 2: Convert to fraction form
    12,939,834/27,697,362 = 27,697,362/x
  3. Step 3: Cross multiply
    12,939,834x = 27,697,362 × 27,697,362
  4. Step 4: Simplify right side
    12,939,834x = 767,143,861,759,044
  5. Step 5: Solve for x
    x = 767,143,861,759,044/12,939,834
  6. Step 6: Final answer
    x = 59,285,448.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.