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Finding the Third Proportional to 2,652,066,770 and 4,419,844,905

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Solution

The third proportional to 2,652,066,770 and 4,419,844,905 is: 7,365,964,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,066,770 : 4,419,844,905 = 4,419,844,905 : x
  2. Step 2: Convert to fraction form
    2,652,066,770/4,419,844,905 = 4,419,844,905/x
  3. Step 3: Cross multiply
    2,652,066,770x = 4,419,844,905 × 4,419,844,905
  4. Step 4: Simplify right side
    2,652,066,770x = 19,535,028,984,254,459,904
  5. Step 5: Solve for x
    x = 19,535,028,984,254,459,904/2,652,066,770
  6. Step 6: Final answer
    x = 7,365,964,237.87

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.