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Finding the Third Proportional to 2,522,400,050 and 5,893,464,695

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Solution

The third proportional to 2,522,400,050 and 5,893,464,695 is: 13,769,792,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522,400,050 : 5,893,464,695 = 5,893,464,695 : x
  2. Step 2: Convert to fraction form
    2,522,400,050/5,893,464,695 = 5,893,464,695/x
  3. Step 3: Cross multiply
    2,522,400,050x = 5,893,464,695 × 5,893,464,695
  4. Step 4: Simplify right side
    2,522,400,050x = 34,732,926,111,211,442,176
  5. Step 5: Solve for x
    x = 34,732,926,111,211,442,176/2,522,400,050
  6. Step 6: Final answer
    x = 13,769,792,825.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.