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Finding the Third Proportional to 9,803,751 and 21,542,646

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Solution

The third proportional to 9,803,751 and 21,542,646 is: 47,337,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803,751 : 21,542,646 = 21,542,646 : x
  2. Step 2: Convert to fraction form
    9,803,751/21,542,646 = 21,542,646/x
  3. Step 3: Cross multiply
    9,803,751x = 21,542,646 × 21,542,646
  4. Step 4: Simplify right side
    9,803,751x = 464,085,596,681,316
  5. Step 5: Solve for x
    x = 464,085,596,681,316/9,803,751
  6. Step 6: Final answer
    x = 47,337,554.44

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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.