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Finding the Third Proportional to 701,153,733 and 1,499,567,658

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Solution

The third proportional to 701,153,733 and 1,499,567,658 is: 3,207,147,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,153,733 : 1,499,567,658 = 1,499,567,658 : x
  2. Step 2: Convert to fraction form
    701,153,733/1,499,567,658 = 1,499,567,658/x
  3. Step 3: Cross multiply
    701,153,733x = 1,499,567,658 × 1,499,567,658
  4. Step 4: Simplify right side
    701,153,733x = 2,248,703,160,919,604,992
  5. Step 5: Solve for x
    x = 2,248,703,160,919,604,992/701,153,733
  6. Step 6: Final answer
    x = 3,207,147,099.25

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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.