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Finding the Third Proportional to 10,682,973,411 and 22,747,626,991.50

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Solution

The third proportional to 10,682,973,411 and 22,747,626,991.50 is: 48,437,313,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682,973,411 : 22,747,626,991.50 = 22,747,626,991.50 : x
  2. Step 2: Convert to fraction form
    10,682,973,411/22,747,626,991.50 = 22,747,626,991.50/x
  3. Step 3: Cross multiply
    10,682,973,411x = 22,747,626,991.50 × 22,747,626,991.50
  4. Step 4: Simplify right side
    10,682,973,411x = 517,454,533,744,419,340,288
  5. Step 5: Solve for x
    x = 517,454,533,744,419,340,288/10,682,973,411
  6. Step 6: Final answer
    x = 48,437,313,642.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.