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Finding the Third Proportional to 466,193,634,067 and 1,014,478,191,732.50

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Solution

The third proportional to 466,193,634,067 and 1,014,478,191,732.50 is: 2,207,593,425,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,193,634,067 : 1,014,478,191,732.50 = 1,014,478,191,732.50 : x
  2. Step 2: Convert to fraction form
    466,193,634,067/1,014,478,191,732.50 = 1,014,478,191,732.50/x
  3. Step 3: Cross multiply
    466,193,634,067x = 1,014,478,191,732.50 × 1,014,478,191,732.50
  4. Step 4: Simplify right side
    466,193,634,067x = 1,029,166,001,500,842,969,006,080
  5. Step 5: Solve for x
    x = 1,029,166,001,500,842,969,006,080/466,193,634,067
  6. Step 6: Final answer
    x = 2,207,593,425,338.22

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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.