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Finding the Third Proportional to 2,890,367.50 and 6,352,927.50

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Solution

The third proportional to 2,890,367.50 and 6,352,927.50 is: 13,963,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890,367.50 : 6,352,927.50 = 6,352,927.50 : x
  2. Step 2: Convert to fraction form
    2,890,367.50/6,352,927.50 = 6,352,927.50/x
  3. Step 3: Cross multiply
    2,890,367.50x = 6,352,927.50 × 6,352,927.50
  4. Step 4: Simplify right side
    2,890,367.50x = 40,359,687,820,256.25
  5. Step 5: Solve for x
    x = 40,359,687,820,256.25/2,890,367.50
  6. Step 6: Final answer
    x = 13,963,514.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.