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Finding the Third Proportional to 2,833,885,008 and 6,149,473,440

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Solution

The third proportional to 2,833,885,008 and 6,149,473,440 is: 13,344,233,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,885,008 : 6,149,473,440 = 6,149,473,440 : x
  2. Step 2: Convert to fraction form
    2,833,885,008/6,149,473,440 = 6,149,473,440/x
  3. Step 3: Cross multiply
    2,833,885,008x = 6,149,473,440 × 6,149,473,440
  4. Step 4: Simplify right side
    2,833,885,008x = 37,816,023,589,265,432,576
  5. Step 5: Solve for x
    x = 37,816,023,589,265,432,576/2,833,885,008
  6. Step 6: Final answer
    x = 13,344,233,616.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.