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Finding the Third Proportional to 5,685,728 and 12,316,240

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Solution

The third proportional to 5,685,728 and 12,316,240 is: 26,679,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,728 : 12,316,240 = 12,316,240 : x
  2. Step 2: Convert to fraction form
    5,685,728/12,316,240 = 12,316,240/x
  3. Step 3: Cross multiply
    5,685,728x = 12,316,240 × 12,316,240
  4. Step 4: Simplify right side
    5,685,728x = 151,689,767,737,600
  5. Step 5: Solve for x
    x = 151,689,767,737,600/5,685,728
  6. Step 6: Final answer
    x = 26,679,040.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.