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Finding the Third Proportional to 318,552,116,630 and 682,541,342,560

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Solution

The third proportional to 318,552,116,630 and 682,541,342,560 is: 1,462,437,886,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,552,116,630 : 682,541,342,560 = 682,541,342,560 : x
  2. Step 2: Convert to fraction form
    318,552,116,630/682,541,342,560 = 682,541,342,560/x
  3. Step 3: Cross multiply
    318,552,116,630x = 682,541,342,560 × 682,541,342,560
  4. Step 4: Simplify right side
    318,552,116,630x = 465,862,684,303,607,250,026,496
  5. Step 5: Solve for x
    x = 465,862,684,303,607,250,026,496/318,552,116,630
  6. Step 6: Final answer
    x = 1,462,437,886,873.97

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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.