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Finding the Third Proportional to 21,907,543.50 and 46,854,333.56

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Solution

The third proportional to 21,907,543.50 and 46,854,333.56 is: 100,208,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907,543.50 : 46,854,333.56 = 46,854,333.56 : x
  2. Step 2: Convert to fraction form
    21,907,543.50/46,854,333.56 = 46,854,333.56/x
  3. Step 3: Cross multiply
    21,907,543.50x = 46,854,333.56 × 46,854,333.56
  4. Step 4: Simplify right side
    21,907,543.50x = 2,195,328,573,586,014
  5. Step 5: Solve for x
    x = 2,195,328,573,586,014/21,907,543.50
  6. Step 6: Final answer
    x = 100,208,796.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.