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Finding the Third Proportional to 1,359,432,819 and 2,099,202,047

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Solution

The third proportional to 1,359,432,819 and 2,099,202,047 is: 3,241,535,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,819 : 2,099,202,047 = 2,099,202,047 : x
  2. Step 2: Convert to fraction form
    1,359,432,819/2,099,202,047 = 2,099,202,047/x
  3. Step 3: Cross multiply
    1,359,432,819x = 2,099,202,047 × 2,099,202,047
  4. Step 4: Simplify right side
    1,359,432,819x = 4,406,649,234,128,990,208
  5. Step 5: Solve for x
    x = 4,406,649,234,128,990,208/1,359,432,819
  6. Step 6: Final answer
    x = 3,241,535,125.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.