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Finding the Third Proportional to 3,287,647,360,944 and 5,029,732,344,888

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Solution

The third proportional to 3,287,647,360,944 and 5,029,732,344,888 is: 7,694,927,309,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,647,360,944 : 5,029,732,344,888 = 5,029,732,344,888 : x
  2. Step 2: Convert to fraction form
    3,287,647,360,944/5,029,732,344,888 = 5,029,732,344,888/x
  3. Step 3: Cross multiply
    3,287,647,360,944x = 5,029,732,344,888 × 5,029,732,344,888
  4. Step 4: Simplify right side
    3,287,647,360,944x = 25,298,207,461,212,540,977,020,928
  5. Step 5: Solve for x
    x = 25,298,207,461,212,540,977,020,928/3,287,647,360,944
  6. Step 6: Final answer
    x = 7,694,927,309,341.51

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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.