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Finding the Third Proportional to 18,362,102.63 and 29,485,164.38

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Solution

The third proportional to 18,362,102.63 and 29,485,164.38 is: 47,346,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362,102.63 : 29,485,164.38 = 29,485,164.38 : x
  2. Step 2: Convert to fraction form
    18,362,102.63/29,485,164.38 = 29,485,164.38/x
  3. Step 3: Cross multiply
    18,362,102.63x = 29,485,164.38 × 29,485,164.38
  4. Step 4: Simplify right side
    18,362,102.63x = 869,374,918,220,769.12
  5. Step 5: Solve for x
    x = 869,374,918,220,769.12/18,362,102.63
  6. Step 6: Final answer
    x = 47,346,152.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.