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Finding the Third Proportional to 1,539,692,148 and 2,224,589,742

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Solution

The third proportional to 1,539,692,148 and 2,224,589,742 is: 3,214,148,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,692,148 : 2,224,589,742 = 2,224,589,742 : x
  2. Step 2: Convert to fraction form
    1,539,692,148/2,224,589,742 = 2,224,589,742/x
  3. Step 3: Cross multiply
    1,539,692,148x = 2,224,589,742 × 2,224,589,742
  4. Step 4: Simplify right side
    1,539,692,148x = 4,948,799,520,211,627,008
  5. Step 5: Solve for x
    x = 4,948,799,520,211,627,008/1,539,692,148
  6. Step 6: Final answer
    x = 3,214,148,702.80

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