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Finding the Third Proportional to 4,675,984 and 6,995,318

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Solution

The third proportional to 4,675,984 and 6,995,318 is: 10,465,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675,984 : 6,995,318 = 6,995,318 : x
  2. Step 2: Convert to fraction form
    4,675,984/6,995,318 = 6,995,318/x
  3. Step 3: Cross multiply
    4,675,984x = 6,995,318 × 6,995,318
  4. Step 4: Simplify right side
    4,675,984x = 48,934,473,921,124
  5. Step 5: Solve for x
    x = 48,934,473,921,124/4,675,984
  6. Step 6: Final answer
    x = 10,465,064.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.