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Finding the Third Proportional to 4,900,219,602 and 7,531,989,467

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Solution

The third proportional to 4,900,219,602 and 7,531,989,467 is: 11,577,208,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900,219,602 : 7,531,989,467 = 7,531,989,467 : x
  2. Step 2: Convert to fraction form
    4,900,219,602/7,531,989,467 = 7,531,989,467/x
  3. Step 3: Cross multiply
    4,900,219,602x = 7,531,989,467 × 7,531,989,467
  4. Step 4: Simplify right side
    4,900,219,602x = 56,730,865,330,998,943,744
  5. Step 5: Solve for x
    x = 56,730,865,330,998,943,744/4,900,219,602
  6. Step 6: Final answer
    x = 11,577,208,765.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.