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Finding the Third Proportional to 442,854,785.50 and 951,430,647

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Solution

The third proportional to 442,854,785.50 and 951,430,647 is: 2,044,056,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854,785.50 : 951,430,647 = 951,430,647 : x
  2. Step 2: Convert to fraction form
    442,854,785.50/951,430,647 = 951,430,647/x
  3. Step 3: Cross multiply
    442,854,785.50x = 951,430,647 × 951,430,647
  4. Step 4: Simplify right side
    442,854,785.50x = 905,220,276,050,838,656
  5. Step 5: Solve for x
    x = 905,220,276,050,838,656/442,854,785.50
  6. Step 6: Final answer
    x = 2,044,056,665.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.