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Finding the Third Proportional to 9,841,574 and 21,473,977

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Solution

The third proportional to 9,841,574 and 21,473,977 is: 46,855,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841,574 : 21,473,977 = 21,473,977 : x
  2. Step 2: Convert to fraction form
    9,841,574/21,473,977 = 21,473,977/x
  3. Step 3: Cross multiply
    9,841,574x = 21,473,977 × 21,473,977
  4. Step 4: Simplify right side
    9,841,574x = 461,131,688,196,529
  5. Step 5: Solve for x
    x = 461,131,688,196,529/9,841,574
  6. Step 6: Final answer
    x = 46,855,481.47

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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.