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Finding the Third Proportional to 3,061,553,378,262 and 6,559,795,537,008

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Solution

The third proportional to 3,061,553,378,262 and 6,559,795,537,008 is: 14,055,256,326,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061,553,378,262 : 6,559,795,537,008 = 6,559,795,537,008 : x
  2. Step 2: Convert to fraction form
    3,061,553,378,262/6,559,795,537,008 = 6,559,795,537,008/x
  3. Step 3: Cross multiply
    3,061,553,378,262x = 6,559,795,537,008 × 6,559,795,537,008
  4. Step 4: Simplify right side
    3,061,553,378,262x = 43,030,917,487,350,073,379,520,512
  5. Step 5: Solve for x
    x = 43,030,917,487,350,073,379,520,512/3,061,553,378,262
  6. Step 6: Final answer
    x = 14,055,256,326,047.83

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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.