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Finding the Third Proportional to 9,843,763 and 15,406,805

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Solution

The third proportional to 9,843,763 and 15,406,805 is: 24,113,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,763 : 15,406,805 = 15,406,805 : x
  2. Step 2: Convert to fraction form
    9,843,763/15,406,805 = 15,406,805/x
  3. Step 3: Cross multiply
    9,843,763x = 15,406,805 × 15,406,805
  4. Step 4: Simplify right side
    9,843,763x = 237,369,640,308,025
  5. Step 5: Solve for x
    x = 237,369,640,308,025/9,843,763
  6. Step 6: Final answer
    x = 24,113,709.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.