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Finding the Third Proportional to 14,574,493.50 and 21,781,415.25

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Solution

The third proportional to 14,574,493.50 and 21,781,415.25 is: 32,552,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574,493.50 : 21,781,415.25 = 21,781,415.25 : x
  2. Step 2: Convert to fraction form
    14,574,493.50/21,781,415.25 = 21,781,415.25/x
  3. Step 3: Cross multiply
    14,574,493.50x = 21,781,415.25 × 21,781,415.25
  4. Step 4: Simplify right side
    14,574,493.50x = 474,430,050,292,932.56
  5. Step 5: Solve for x
    x = 474,430,050,292,932.56/14,574,493.50
  6. Step 6: Final answer
    x = 32,552,078.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.