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Finding the Third Proportional to 4,346,164.69 and 9,449,011.97

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Solution

The third proportional to 4,346,164.69 and 9,449,011.97 is: 20,543,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346,164.69 : 9,449,011.97 = 9,449,011.97 : x
  2. Step 2: Convert to fraction form
    4,346,164.69/9,449,011.97 = 9,449,011.97/x
  3. Step 3: Cross multiply
    4,346,164.69x = 9,449,011.97 × 9,449,011.97
  4. Step 4: Simplify right side
    4,346,164.69x = 89,283,827,185,580.75
  5. Step 5: Solve for x
    x = 89,283,827,185,580.75/4,346,164.69
  6. Step 6: Final answer
    x = 20,543,130.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.