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Finding the Third Proportional to 9,974,017.50 and 21,814,275

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Solution

The third proportional to 9,974,017.50 and 21,814,275 is: 47,710,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,017.50 : 21,814,275 = 21,814,275 : x
  2. Step 2: Convert to fraction form
    9,974,017.50/21,814,275 = 21,814,275/x
  3. Step 3: Cross multiply
    9,974,017.50x = 21,814,275 × 21,814,275
  4. Step 4: Simplify right side
    9,974,017.50x = 475,862,593,775,625
  5. Step 5: Solve for x
    x = 475,862,593,775,625/9,974,017.50
  6. Step 6: Final answer
    x = 47,710,222.46

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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.