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Finding the Third Proportional to 5,685,702 and 12,316,188

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Solution

The third proportional to 5,685,702 and 12,316,188 is: 26,678,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,702 : 12,316,188 = 12,316,188 : x
  2. Step 2: Convert to fraction form
    5,685,702/12,316,188 = 12,316,188/x
  3. Step 3: Cross multiply
    5,685,702x = 12,316,188 × 12,316,188
  4. Step 4: Simplify right side
    5,685,702x = 151,688,486,851,344
  5. Step 5: Solve for x
    x = 151,688,486,851,344/5,685,702
  6. Step 6: Final answer
    x = 26,678,937.24

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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.