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Finding the Third Proportional to 5,431,228 and 11,308,896

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Solution

The third proportional to 5,431,228 and 11,308,896 is: 23,547,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,228 : 11,308,896 = 11,308,896 : x
  2. Step 2: Convert to fraction form
    5,431,228/11,308,896 = 11,308,896/x
  3. Step 3: Cross multiply
    5,431,228x = 11,308,896 × 11,308,896
  4. Step 4: Simplify right side
    5,431,228x = 127,891,128,738,816
  5. Step 5: Solve for x
    x = 127,891,128,738,816/5,431,228
  6. Step 6: Final answer
    x = 23,547,368.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.