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Finding the Third Proportional to 6,814,998,291.38 and 10,468,671,796.69

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Solution

The third proportional to 6,814,998,291.38 and 10,468,671,796.69 is: 16,081,161,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,998,291.38 : 10,468,671,796.69 = 10,468,671,796.69 : x
  2. Step 2: Convert to fraction form
    6,814,998,291.38/10,468,671,796.69 = 10,468,671,796.69/x
  3. Step 3: Cross multiply
    6,814,998,291.38x = 10,468,671,796.69 × 10,468,671,796.69
  4. Step 4: Simplify right side
    6,814,998,291.38x = 109,593,089,186,749,825,024
  5. Step 5: Solve for x
    x = 109,593,089,186,749,825,024/6,814,998,291.38
  6. Step 6: Final answer
    x = 16,081,161,652.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.