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Finding the Third Proportional to 4,652,316 and 7,022,700

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Solution

The third proportional to 4,652,316 and 7,022,700 is: 10,600,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,316 : 7,022,700 = 7,022,700 : x
  2. Step 2: Convert to fraction form
    4,652,316/7,022,700 = 7,022,700/x
  3. Step 3: Cross multiply
    4,652,316x = 7,022,700 × 7,022,700
  4. Step 4: Simplify right side
    4,652,316x = 49,318,315,290,000
  5. Step 5: Solve for x
    x = 49,318,315,290,000/4,652,316
  6. Step 6: Final answer
    x = 10,600,809.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.