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Finding the Third Proportional to 1,761,164,137.13 and 3,774,433,600.69

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Solution

The third proportional to 1,761,164,137.13 and 3,774,433,600.69 is: 8,089,165,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,164,137.13 : 3,774,433,600.69 = 3,774,433,600.69 : x
  2. Step 2: Convert to fraction form
    1,761,164,137.13/3,774,433,600.69 = 3,774,433,600.69/x
  3. Step 3: Cross multiply
    1,761,164,137.13x = 3,774,433,600.69 × 3,774,433,600.69
  4. Step 4: Simplify right side
    1,761,164,137.13x = 14,246,349,005,998,807,040
  5. Step 5: Solve for x
    x = 14,246,349,005,998,807,040/1,761,164,137.13
  6. Step 6: Final answer
    x = 8,089,165,970.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.