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Finding the Third Proportional to 8,553,770 and 11,306,553

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Solution

The third proportional to 8,553,770 and 11,306,553 is: 14,945,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553,770 : 11,306,553 = 11,306,553 : x
  2. Step 2: Convert to fraction form
    8,553,770/11,306,553 = 11,306,553/x
  3. Step 3: Cross multiply
    8,553,770x = 11,306,553 × 11,306,553
  4. Step 4: Simplify right side
    8,553,770x = 127,838,140,741,809
  5. Step 5: Solve for x
    x = 127,838,140,741,809/8,553,770
  6. Step 6: Final answer
    x = 14,945,239.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.