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Finding the Third Proportional to 1,359,432,825 and 2,099,202,057

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Solution

The third proportional to 1,359,432,825 and 2,099,202,057 is: 3,241,535,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,825 : 2,099,202,057 = 2,099,202,057 : x
  2. Step 2: Convert to fraction form
    1,359,432,825/2,099,202,057 = 2,099,202,057/x
  3. Step 3: Cross multiply
    1,359,432,825x = 2,099,202,057 × 2,099,202,057
  4. Step 4: Simplify right side
    1,359,432,825x = 4,406,649,276,113,031,168
  5. Step 5: Solve for x
    x = 4,406,649,276,113,031,168/1,359,432,825
  6. Step 6: Final answer
    x = 3,241,535,142.51

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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.