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Finding the Third Proportional to 2,842,878,818.25 and 6,080,106,165.75

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Solution

The third proportional to 2,842,878,818.25 and 6,080,106,165.75 is: 13,003,611,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,878,818.25 : 6,080,106,165.75 = 6,080,106,165.75 : x
  2. Step 2: Convert to fraction form
    2,842,878,818.25/6,080,106,165.75 = 6,080,106,165.75/x
  3. Step 3: Cross multiply
    2,842,878,818.25x = 6,080,106,165.75 × 6,080,106,165.75
  4. Step 4: Simplify right side
    2,842,878,818.25x = 36,967,690,986,791,165,952
  5. Step 5: Solve for x
    x = 36,967,690,986,791,165,952/2,842,878,818.25
  6. Step 6: Final answer
    x = 13,003,611,251.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.