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Finding the Third Proportional to 2,393,195,706 and 3,676,241,646

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Solution

The third proportional to 2,393,195,706 and 3,676,241,646 is: 5,647,157,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,195,706 : 3,676,241,646 = 3,676,241,646 : x
  2. Step 2: Convert to fraction form
    2,393,195,706/3,676,241,646 = 3,676,241,646/x
  3. Step 3: Cross multiply
    2,393,195,706x = 3,676,241,646 × 3,676,241,646
  4. Step 4: Simplify right side
    2,393,195,706x = 13,514,752,639,784,790,016
  5. Step 5: Solve for x
    x = 13,514,752,639,784,790,016/2,393,195,706
  6. Step 6: Final answer
    x = 5,647,157,316.01

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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.