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Finding the Third Proportional to 462,760,099.59 and 1,000,999,351.41

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Solution

The third proportional to 462,760,099.59 and 1,000,999,351.41 is: 2,165,268,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,760,099.59 : 1,000,999,351.41 = 1,000,999,351.41 : x
  2. Step 2: Convert to fraction form
    462,760,099.59/1,000,999,351.41 = 1,000,999,351.41/x
  3. Step 3: Cross multiply
    462,760,099.59x = 1,000,999,351.41 × 1,000,999,351.41
  4. Step 4: Simplify right side
    462,760,099.59x = 1,001,999,701,515,633,152
  5. Step 5: Solve for x
    x = 1,001,999,701,515,633,152/462,760,099.59
  6. Step 6: Final answer
    x = 2,165,268,143.03

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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.