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Finding the Third Proportional to 2,774,587,180 and 4,008,799,334.50

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Solution

The third proportional to 2,774,587,180 and 4,008,799,334.50 is: 5,792,022,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,587,180 : 4,008,799,334.50 = 4,008,799,334.50 : x
  2. Step 2: Convert to fraction form
    2,774,587,180/4,008,799,334.50 = 4,008,799,334.50/x
  3. Step 3: Cross multiply
    2,774,587,180x = 4,008,799,334.50 × 4,008,799,334.50
  4. Step 4: Simplify right side
    2,774,587,180x = 16,070,472,104,287,643,648
  5. Step 5: Solve for x
    x = 16,070,472,104,287,643,648/2,774,587,180
  6. Step 6: Final answer
    x = 5,792,022,762.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.