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Finding the Third Proportional to 2,001,056,787 and 4,346,584,200

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Solution

The third proportional to 2,001,056,787 and 4,346,584,200 is: 9,441,408,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,056,787 : 4,346,584,200 = 4,346,584,200 : x
  2. Step 2: Convert to fraction form
    2,001,056,787/4,346,584,200 = 4,346,584,200/x
  3. Step 3: Cross multiply
    2,001,056,787x = 4,346,584,200 × 4,346,584,200
  4. Step 4: Simplify right side
    2,001,056,787x = 18,892,794,207,689,641,984
  5. Step 5: Solve for x
    x = 18,892,794,207,689,641,984/2,001,056,787
  6. Step 6: Final answer
    x = 9,441,408,325.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.