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Finding the Third Proportional to 5,785,896 and 12,600,402

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Solution

The third proportional to 5,785,896 and 12,600,402 is: 27,440,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,896 : 12,600,402 = 12,600,402 : x
  2. Step 2: Convert to fraction form
    5,785,896/12,600,402 = 12,600,402/x
  3. Step 3: Cross multiply
    5,785,896x = 12,600,402 × 12,600,402
  4. Step 4: Simplify right side
    5,785,896x = 158,770,130,561,604
  5. Step 5: Solve for x
    x = 158,770,130,561,604/5,785,896
  6. Step 6: Final answer
    x = 27,440,889.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.