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Finding the Third Proportional to 2,056,913,208 and 3,133,494,747

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Solution

The third proportional to 2,056,913,208 and 3,133,494,747 is: 4,773,555,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,913,208 : 3,133,494,747 = 3,133,494,747 : x
  2. Step 2: Convert to fraction form
    2,056,913,208/3,133,494,747 = 3,133,494,747/x
  3. Step 3: Cross multiply
    2,056,913,208x = 3,133,494,747 × 3,133,494,747
  4. Step 4: Simplify right side
    2,056,913,208x = 9,818,789,329,476,593,664
  5. Step 5: Solve for x
    x = 9,818,789,329,476,593,664/2,056,913,208
  6. Step 6: Final answer
    x = 4,773,555,486.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.