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Finding the Third Proportional to 12,845,709 and 27,696,705

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Solution

The third proportional to 12,845,709 and 27,696,705 is: 59,717,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845,709 : 27,696,705 = 27,696,705 : x
  2. Step 2: Convert to fraction form
    12,845,709/27,696,705 = 27,696,705/x
  3. Step 3: Cross multiply
    12,845,709x = 27,696,705 × 27,696,705
  4. Step 4: Simplify right side
    12,845,709x = 767,107,467,857,025
  5. Step 5: Solve for x
    x = 767,107,467,857,025/12,845,709
  6. Step 6: Final answer
    x = 59,717,020.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.