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Finding the Third Proportional to 2,095,341,150 and 4,562,691,002

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Solution

The third proportional to 2,095,341,150 and 4,562,691,002 is: 9,935,446,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,341,150 : 4,562,691,002 = 4,562,691,002 : x
  2. Step 2: Convert to fraction form
    2,095,341,150/4,562,691,002 = 4,562,691,002/x
  3. Step 3: Cross multiply
    2,095,341,150x = 4,562,691,002 × 4,562,691,002
  4. Step 4: Simplify right side
    2,095,341,150x = 20,818,149,179,731,763,200
  5. Step 5: Solve for x
    x = 20,818,149,179,731,763,200/2,095,341,150
  6. Step 6: Final answer
    x = 9,935,446,158.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.