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Finding the Third Proportional to 6,896,584 and 14,986,910

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Solution

The third proportional to 6,896,584 and 14,986,910 is: 32,567,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896,584 : 14,986,910 = 14,986,910 : x
  2. Step 2: Convert to fraction form
    6,896,584/14,986,910 = 14,986,910/x
  3. Step 3: Cross multiply
    6,896,584x = 14,986,910 × 14,986,910
  4. Step 4: Simplify right side
    6,896,584x = 224,607,471,348,100
  5. Step 5: Solve for x
    x = 224,607,471,348,100/6,896,584
  6. Step 6: Final answer
    x = 32,567,930.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.