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Finding the Third Proportional to 3,881,130,493.50 and 8,442,275,179.50

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Solution

The third proportional to 3,881,130,493.50 and 8,442,275,179.50 is: 18,363,724,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881,130,493.50 : 8,442,275,179.50 = 8,442,275,179.50 : x
  2. Step 2: Convert to fraction form
    3,881,130,493.50/8,442,275,179.50 = 8,442,275,179.50/x
  3. Step 3: Cross multiply
    3,881,130,493.50x = 8,442,275,179.50 × 8,442,275,179.50
  4. Step 4: Simplify right side
    3,881,130,493.50x = 71,272,010,206,401,757,184
  5. Step 5: Solve for x
    x = 71,272,010,206,401,757,184/3,881,130,493.50
  6. Step 6: Final answer
    x = 18,363,724,261.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.