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Finding the Third Proportional to 1,503,848,328 and 2,298,999,984

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Solution

The third proportional to 1,503,848,328 and 2,298,999,984 is: 3,514,583,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,848,328 : 2,298,999,984 = 2,298,999,984 : x
  2. Step 2: Convert to fraction form
    1,503,848,328/2,298,999,984 = 2,298,999,984/x
  3. Step 3: Cross multiply
    1,503,848,328x = 2,298,999,984 × 2,298,999,984
  4. Step 4: Simplify right side
    1,503,848,328x = 5,285,400,926,432,000,000
  5. Step 5: Solve for x
    x = 5,285,400,926,432,000,000/1,503,848,328
  6. Step 6: Final answer
    x = 3,514,583,770.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.