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Finding the Third Proportional to 2,393,195,598 and 3,676,241,466

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Solution

The third proportional to 2,393,195,598 and 3,676,241,466 is: 5,647,157,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,195,598 : 3,676,241,466 = 3,676,241,466 : x
  2. Step 2: Convert to fraction form
    2,393,195,598/3,676,241,466 = 3,676,241,466/x
  3. Step 3: Cross multiply
    2,393,195,598x = 3,676,241,466 × 3,676,241,466
  4. Step 4: Simplify right side
    2,393,195,598x = 13,514,751,316,337,829,888
  5. Step 5: Solve for x
    x = 13,514,751,316,337,829,888/2,393,195,598
  6. Step 6: Final answer
    x = 5,647,157,017.85

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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.