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Finding the Third Proportional to 4,907,314 and 10,724,420

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Solution

The third proportional to 4,907,314 and 10,724,420 is: 23,437,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907,314 : 10,724,420 = 10,724,420 : x
  2. Step 2: Convert to fraction form
    4,907,314/10,724,420 = 10,724,420/x
  3. Step 3: Cross multiply
    4,907,314x = 10,724,420 × 10,724,420
  4. Step 4: Simplify right side
    4,907,314x = 115,013,184,336,400
  5. Step 5: Solve for x
    x = 115,013,184,336,400/4,907,314
  6. Step 6: Final answer
    x = 23,437,094.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.