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Finding the Third Proportional to 12,856,735 and 27,457,110

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Solution

The third proportional to 12,856,735 and 27,457,110 is: 58,637,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856,735 : 27,457,110 = 27,457,110 : x
  2. Step 2: Convert to fraction form
    12,856,735/27,457,110 = 27,457,110/x
  3. Step 3: Cross multiply
    12,856,735x = 27,457,110 × 27,457,110
  4. Step 4: Simplify right side
    12,856,735x = 753,892,889,552,100
  5. Step 5: Solve for x
    x = 753,892,889,552,100/12,856,735
  6. Step 6: Final answer
    x = 58,637,973.76

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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.