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Finding the Third Proportional to 662,029,693.50 and 1,429,374,003

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Solution

The third proportional to 662,029,693.50 and 1,429,374,003 is: 3,086,130,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,029,693.50 : 1,429,374,003 = 1,429,374,003 : x
  2. Step 2: Convert to fraction form
    662,029,693.50/1,429,374,003 = 1,429,374,003/x
  3. Step 3: Cross multiply
    662,029,693.50x = 1,429,374,003 × 1,429,374,003
  4. Step 4: Simplify right side
    662,029,693.50x = 2,043,110,040,452,243,968
  5. Step 5: Solve for x
    x = 2,043,110,040,452,243,968/662,029,693.50
  6. Step 6: Final answer
    x = 3,086,130,517.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.