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Finding the Third Proportional to 445,523,403.94 and 927,711,499.64

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Solution

The third proportional to 445,523,403.94 and 927,711,499.64 is: 1,931,769,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,523,403.94 : 927,711,499.64 = 927,711,499.64 : x
  2. Step 2: Convert to fraction form
    445,523,403.94/927,711,499.64 = 927,711,499.64/x
  3. Step 3: Cross multiply
    445,523,403.94x = 927,711,499.64 × 927,711,499.64
  4. Step 4: Simplify right side
    445,523,403.94x = 860,648,626,565,410,944
  5. Step 5: Solve for x
    x = 860,648,626,565,410,944/445,523,403.94
  6. Step 6: Final answer
    x = 1,931,769,731.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.