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Finding the Third Proportional to 4,520,365.50 and 6,822,586.13

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Solution

The third proportional to 4,520,365.50 and 6,822,586.13 is: 10,297,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520,365.50 : 6,822,586.13 = 6,822,586.13 : x
  2. Step 2: Convert to fraction form
    4,520,365.50/6,822,586.13 = 6,822,586.13/x
  3. Step 3: Cross multiply
    4,520,365.50x = 6,822,586.13 × 6,822,586.13
  4. Step 4: Simplify right side
    4,520,365.50x = 46,547,681,433,042.52
  5. Step 5: Solve for x
    x = 46,547,681,433,042.52/4,520,365.50
  6. Step 6: Final answer
    x = 10,297,326.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.