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Finding the Third Proportional to 3,149,084,864 and 6,765,502,427

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Solution

The third proportional to 3,149,084,864 and 6,765,502,427 is: 14,535,023,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,084,864 : 6,765,502,427 = 6,765,502,427 : x
  2. Step 2: Convert to fraction form
    3,149,084,864/6,765,502,427 = 6,765,502,427/x
  3. Step 3: Cross multiply
    3,149,084,864x = 6,765,502,427 × 6,765,502,427
  4. Step 4: Simplify right side
    3,149,084,864x = 45,772,023,089,742,888,960
  5. Step 5: Solve for x
    x = 45,772,023,089,742,888,960/3,149,084,864
  6. Step 6: Final answer
    x = 14,535,023,686.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.