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Finding the Third Proportional to 5,685,720 and 12,316,224

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Solution

The third proportional to 5,685,720 and 12,316,224 is: 26,679,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,720 : 12,316,224 = 12,316,224 : x
  2. Step 2: Convert to fraction form
    5,685,720/12,316,224 = 12,316,224/x
  3. Step 3: Cross multiply
    5,685,720x = 12,316,224 × 12,316,224
  4. Step 4: Simplify right side
    5,685,720x = 151,689,373,618,176
  5. Step 5: Solve for x
    x = 151,689,373,618,176/5,685,720
  6. Step 6: Final answer
    x = 26,679,008.75

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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.