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Finding the Third Proportional to 3,061,553,378,266 and 6,559,795,537,016

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Solution

The third proportional to 3,061,553,378,266 and 6,559,795,537,016 is: 14,055,256,326,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061,553,378,266 : 6,559,795,537,016 = 6,559,795,537,016 : x
  2. Step 2: Convert to fraction form
    3,061,553,378,266/6,559,795,537,016 = 6,559,795,537,016/x
  3. Step 3: Cross multiply
    3,061,553,378,266x = 6,559,795,537,016 × 6,559,795,537,016
  4. Step 4: Simplify right side
    3,061,553,378,266x = 43,030,917,487,455,033,790,300,160
  5. Step 5: Solve for x
    x = 43,030,917,487,455,033,790,300,160/3,061,553,378,266
  6. Step 6: Final answer
    x = 14,055,256,326,063.75

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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.