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Finding the Third Proportional to 3,332,289,645 and 6,940,390,944

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Solution

The third proportional to 3,332,289,645 and 6,940,390,944 is: 14,455,233,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332,289,645 : 6,940,390,944 = 6,940,390,944 : x
  2. Step 2: Convert to fraction form
    3,332,289,645/6,940,390,944 = 6,940,390,944/x
  3. Step 3: Cross multiply
    3,332,289,645x = 6,940,390,944 × 6,940,390,944
  4. Step 4: Simplify right side
    3,332,289,645x = 48,169,026,455,557,210,112
  5. Step 5: Solve for x
    x = 48,169,026,455,557,210,112/3,332,289,645
  6. Step 6: Final answer
    x = 14,455,233,964.38

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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.