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Finding the Third Proportional to 1,359,433,005 and 2,099,202,512

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Solution

The third proportional to 1,359,433,005 and 2,099,202,512 is: 3,241,536,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,433,005 : 2,099,202,512 = 2,099,202,512 : x
  2. Step 2: Convert to fraction form
    1,359,433,005/2,099,202,512 = 2,099,202,512/x
  3. Step 3: Cross multiply
    1,359,433,005x = 2,099,202,512 × 2,099,202,512
  4. Step 4: Simplify right side
    1,359,433,005x = 4,406,651,186,387,109,888
  5. Step 5: Solve for x
    x = 4,406,651,186,387,109,888/1,359,433,005
  6. Step 6: Final answer
    x = 3,241,536,118.50

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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.