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Finding the Third Proportional to 14,368,300.50 and 31,370,223

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Solution

The third proportional to 14,368,300.50 and 31,370,223 is: 68,490,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368,300.50 : 31,370,223 = 31,370,223 : x
  2. Step 2: Convert to fraction form
    14,368,300.50/31,370,223 = 31,370,223/x
  3. Step 3: Cross multiply
    14,368,300.50x = 31,370,223 × 31,370,223
  4. Step 4: Simplify right side
    14,368,300.50x = 984,090,891,069,729
  5. Step 5: Solve for x
    x = 984,090,891,069,729/14,368,300.50
  6. Step 6: Final answer
    x = 68,490,416.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.