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Finding the Third Proportional to 1,086,696,567 and 1,694,614,810.50

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Solution

The third proportional to 1,086,696,567 and 1,694,614,810.50 is: 2,642,613,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,696,567 : 1,694,614,810.50 = 1,694,614,810.50 : x
  2. Step 2: Convert to fraction form
    1,086,696,567/1,694,614,810.50 = 1,694,614,810.50/x
  3. Step 3: Cross multiply
    1,086,696,567x = 1,694,614,810.50 × 1,694,614,810.50
  4. Step 4: Simplify right side
    1,086,696,567x = 2,871,719,355,965,950,976
  5. Step 5: Solve for x
    x = 2,871,719,355,965,950,976/1,086,696,567
  6. Step 6: Final answer
    x = 2,642,613,810.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.