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Finding the Third Proportional to 21,867,813 and 47,854,293.75

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Solution

The third proportional to 21,867,813 and 47,854,293.75 is: 104,721,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867,813 : 47,854,293.75 = 47,854,293.75 : x
  2. Step 2: Convert to fraction form
    21,867,813/47,854,293.75 = 47,854,293.75/x
  3. Step 3: Cross multiply
    21,867,813x = 47,854,293.75 × 47,854,293.75
  4. Step 4: Simplify right side
    21,867,813x = 2,290,033,430,311,289
  5. Step 5: Solve for x
    x = 2,290,033,430,311,289/21,867,813
  6. Step 6: Final answer
    x = 104,721,648.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.