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Finding the Third Proportional to 899,340,710 and 2,005,468,870

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Solution

The third proportional to 899,340,710 and 2,005,468,870 is: 4,472,059,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,340,710 : 2,005,468,870 = 2,005,468,870 : x
  2. Step 2: Convert to fraction form
    899,340,710/2,005,468,870 = 2,005,468,870/x
  3. Step 3: Cross multiply
    899,340,710x = 2,005,468,870 × 2,005,468,870
  4. Step 4: Simplify right side
    899,340,710x = 4,021,905,388,539,077,120
  5. Step 5: Solve for x
    x = 4,021,905,388,539,077,120/899,340,710
  6. Step 6: Final answer
    x = 4,472,059,747.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.