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Finding the Third Proportional to 9,923,523.50 and 21,282,881.88

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Solution

The third proportional to 9,923,523.50 and 21,282,881.88 is: 45,645,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923,523.50 : 21,282,881.88 = 21,282,881.88 : x
  2. Step 2: Convert to fraction form
    9,923,523.50/21,282,881.88 = 21,282,881.88/x
  3. Step 3: Cross multiply
    9,923,523.50x = 21,282,881.88 × 21,282,881.88
  4. Step 4: Simplify right side
    9,923,523.50x = 452,961,060,905,203.50
  5. Step 5: Solve for x
    x = 452,961,060,905,203.50/9,923,523.50
  6. Step 6: Final answer
    x = 45,645,184.49

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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.