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Finding the Third Proportional to 3,287,647,360,946 and 5,029,732,344,891

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Solution

The third proportional to 3,287,647,360,946 and 5,029,732,344,891 is: 7,694,927,309,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,647,360,946 : 5,029,732,344,891 = 5,029,732,344,891 : x
  2. Step 2: Convert to fraction form
    3,287,647,360,946/5,029,732,344,891 = 5,029,732,344,891/x
  3. Step 3: Cross multiply
    3,287,647,360,946x = 5,029,732,344,891 × 5,029,732,344,891
  4. Step 4: Simplify right side
    3,287,647,360,946x = 25,298,207,461,242,717,417,242,624
  5. Step 5: Solve for x
    x = 25,298,207,461,242,717,417,242,624/3,287,647,360,946
  6. Step 6: Final answer
    x = 7,694,927,309,346.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.