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Finding the Third Proportional to 12,493,237.50 and 18,897,320.25

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Solution

The third proportional to 12,493,237.50 and 18,897,320.25 is: 28,584,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493,237.50 : 18,897,320.25 = 18,897,320.25 : x
  2. Step 2: Convert to fraction form
    12,493,237.50/18,897,320.25 = 18,897,320.25/x
  3. Step 3: Cross multiply
    12,493,237.50x = 18,897,320.25 × 18,897,320.25
  4. Step 4: Simplify right side
    12,493,237.50x = 357,108,712,631,060.06
  5. Step 5: Solve for x
    x = 357,108,712,631,060.06/12,493,237.50
  6. Step 6: Final answer
    x = 28,584,161.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.