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Finding the Third Proportional to 8,654,364 and 13,453,776

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Solution

The third proportional to 8,654,364 and 13,453,776 is: 20,914,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654,364 : 13,453,776 = 13,453,776 : x
  2. Step 2: Convert to fraction form
    8,654,364/13,453,776 = 13,453,776/x
  3. Step 3: Cross multiply
    8,654,364x = 13,453,776 × 13,453,776
  4. Step 4: Simplify right side
    8,654,364x = 181,004,088,658,176
  5. Step 5: Solve for x
    x = 181,004,088,658,176/8,654,364
  6. Step 6: Final answer
    x = 20,914,776.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.