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Finding the Third Proportional to 6,154,346.14 and 13,392,350.79

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Solution

The third proportional to 6,154,346.14 and 13,392,350.79 is: 29,142,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154,346.14 : 13,392,350.79 = 13,392,350.79 : x
  2. Step 2: Convert to fraction form
    6,154,346.14/13,392,350.79 = 13,392,350.79/x
  3. Step 3: Cross multiply
    6,154,346.14x = 13,392,350.79 × 13,392,350.79
  4. Step 4: Simplify right side
    6,154,346.14x = 179,355,059,657,289.59
  5. Step 5: Solve for x
    x = 179,355,059,657,289.59/6,154,346.14
  6. Step 6: Final answer
    x = 29,142,829.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.