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Finding the Third Proportional to 1,342,853,298 and 2,889,780,000

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Solution

The third proportional to 1,342,853,298 and 2,889,780,000 is: 6,218,719,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,853,298 : 2,889,780,000 = 2,889,780,000 : x
  2. Step 2: Convert to fraction form
    1,342,853,298/2,889,780,000 = 2,889,780,000/x
  3. Step 3: Cross multiply
    1,342,853,298x = 2,889,780,000 × 2,889,780,000
  4. Step 4: Simplify right side
    1,342,853,298x = 8,350,828,448,400,000,000
  5. Step 5: Solve for x
    x = 8,350,828,448,400,000,000/1,342,853,298
  6. Step 6: Final answer
    x = 6,218,719,841.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.