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Finding the Third Proportional to 5,306,896 and 11,607,492

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Solution

The third proportional to 5,306,896 and 11,607,492 is: 25,388,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,896 : 11,607,492 = 11,607,492 : x
  2. Step 2: Convert to fraction form
    5,306,896/11,607,492 = 11,607,492/x
  3. Step 3: Cross multiply
    5,306,896x = 11,607,492 × 11,607,492
  4. Step 4: Simplify right side
    5,306,896x = 134,733,870,530,064
  5. Step 5: Solve for x
    x = 134,733,870,530,064/5,306,896
  6. Step 6: Final answer
    x = 25,388,451.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.