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Finding the Third Proportional to 1,359,432,833 and 2,099,202,203

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Solution

The third proportional to 1,359,432,833 and 2,099,202,203 is: 3,241,535,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,833 : 2,099,202,203 = 2,099,202,203 : x
  2. Step 2: Convert to fraction form
    1,359,432,833/2,099,202,203 = 2,099,202,203/x
  3. Step 3: Cross multiply
    1,359,432,833x = 2,099,202,203 × 2,099,202,203
  4. Step 4: Simplify right side
    1,359,432,833x = 4,406,649,889,080,053,248
  5. Step 5: Solve for x
    x = 4,406,649,889,080,053,248/1,359,432,833
  6. Step 6: Final answer
    x = 3,241,535,574.33

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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.