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Finding the Third Proportional to 644,040,561 and 1,414,604,742

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Solution

The third proportional to 644,040,561 and 1,414,604,742 is: 3,107,112,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,040,561 : 1,414,604,742 = 1,414,604,742 : x
  2. Step 2: Convert to fraction form
    644,040,561/1,414,604,742 = 1,414,604,742/x
  3. Step 3: Cross multiply
    644,040,561x = 1,414,604,742 × 1,414,604,742
  4. Step 4: Simplify right side
    644,040,561x = 2,001,106,576,088,886,528
  5. Step 5: Solve for x
    x = 2,001,106,576,088,886,528/644,040,561
  6. Step 6: Final answer
    x = 3,107,112,652.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.