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Finding the Third Proportional to 65,414,356,678 and 141,992,835,466

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Solution

The third proportional to 65,414,356,678 and 141,992,835,466 is: 308,219,270,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414,356,678 : 141,992,835,466 = 141,992,835,466 : x
  2. Step 2: Convert to fraction form
    65,414,356,678/141,992,835,466 = 141,992,835,466/x
  3. Step 3: Cross multiply
    65,414,356,678x = 141,992,835,466 × 141,992,835,466
  4. Step 4: Simplify right side
    65,414,356,678x = 20,161,965,323,674,546,339,840
  5. Step 5: Solve for x
    x = 20,161,965,323,674,546,339,840/65,414,356,678
  6. Step 6: Final answer
    x = 308,219,270,930.40

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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.