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Finding the Third Proportional to 8,487,694 and 13,462,009

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Solution

The third proportional to 8,487,694 and 13,462,009 is: 21,351,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487,694 : 13,462,009 = 13,462,009 : x
  2. Step 2: Convert to fraction form
    8,487,694/13,462,009 = 13,462,009/x
  3. Step 3: Cross multiply
    8,487,694x = 13,462,009 × 13,462,009
  4. Step 4: Simplify right side
    8,487,694x = 181,225,686,316,081
  5. Step 5: Solve for x
    x = 181,225,686,316,081/8,487,694
  6. Step 6: Final answer
    x = 21,351,581.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.