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Finding the Third Proportional to 14,974,231.50 and 32,218,204.50

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Solution

The third proportional to 14,974,231.50 and 32,218,204.50 is: 69,319,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974,231.50 : 32,218,204.50 = 32,218,204.50 : x
  2. Step 2: Convert to fraction form
    14,974,231.50/32,218,204.50 = 32,218,204.50/x
  3. Step 3: Cross multiply
    14,974,231.50x = 32,218,204.50 × 32,218,204.50
  4. Step 4: Simplify right side
    14,974,231.50x = 1,038,012,701,203,820.25
  5. Step 5: Solve for x
    x = 1,038,012,701,203,820.25/14,974,231.50
  6. Step 6: Final answer
    x = 69,319,931.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.