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Finding the Third Proportional to 3,061,553,371,542 and 6,559,795,524,022

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Solution

The third proportional to 3,061,553,371,542 and 6,559,795,524,022 is: 14,055,256,301,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061,553,371,542 : 6,559,795,524,022 = 6,559,795,524,022 : x
  2. Step 2: Convert to fraction form
    3,061,553,371,542/6,559,795,524,022 = 6,559,795,524,022/x
  3. Step 3: Cross multiply
    3,061,553,371,542x = 6,559,795,524,022 × 6,559,795,524,022
  4. Step 4: Simplify right side
    3,061,553,371,542x = 43,030,917,316,979,063,028,449,280
  5. Step 5: Solve for x
    x = 43,030,917,316,979,063,028,449,280/3,061,553,371,542
  6. Step 6: Final answer
    x = 14,055,256,301,250.06

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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.