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Finding the Third Proportional to 3,332,289,647 and 6,940,390,948

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Solution

The third proportional to 3,332,289,647 and 6,940,390,948 is: 14,455,233,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332,289,647 : 6,940,390,948 = 6,940,390,948 : x
  2. Step 2: Convert to fraction form
    3,332,289,647/6,940,390,948 = 6,940,390,948/x
  3. Step 3: Cross multiply
    3,332,289,647x = 6,940,390,948 × 6,940,390,948
  4. Step 4: Simplify right side
    3,332,289,647x = 48,169,026,511,080,341,504
  5. Step 5: Solve for x
    x = 48,169,026,511,080,341,504/3,332,289,647
  6. Step 6: Final answer
    x = 14,455,233,972.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.