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Finding the Third Proportional to 2,970,270,804 and 6,294,608,157

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Solution

The third proportional to 2,970,270,804 and 6,294,608,157 is: 13,339,555,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,270,804 : 6,294,608,157 = 6,294,608,157 : x
  2. Step 2: Convert to fraction form
    2,970,270,804/6,294,608,157 = 6,294,608,157/x
  3. Step 3: Cross multiply
    2,970,270,804x = 6,294,608,157 × 6,294,608,157
  4. Step 4: Simplify right side
    2,970,270,804x = 39,622,091,850,170,933,248
  5. Step 5: Solve for x
    x = 39,622,091,850,170,933,248/2,970,270,804
  6. Step 6: Final answer
    x = 13,339,555,368.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.