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Finding the Third Proportional to 4,943,109 and 10,685,702

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Solution

The third proportional to 4,943,109 and 10,685,702 is: 23,099,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943,109 : 10,685,702 = 10,685,702 : x
  2. Step 2: Convert to fraction form
    4,943,109/10,685,702 = 10,685,702/x
  3. Step 3: Cross multiply
    4,943,109x = 10,685,702 × 10,685,702
  4. Step 4: Simplify right side
    4,943,109x = 114,184,227,232,804
  5. Step 5: Solve for x
    x = 114,184,227,232,804/4,943,109
  6. Step 6: Final answer
    x = 23,099,678.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.