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Finding the Third Proportional to 6,685,256 and 14,648,276

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Solution

The third proportional to 6,685,256 and 14,648,276 is: 32,096,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,256 : 14,648,276 = 14,648,276 : x
  2. Step 2: Convert to fraction form
    6,685,256/14,648,276 = 14,648,276/x
  3. Step 3: Cross multiply
    6,685,256x = 14,648,276 × 14,648,276
  4. Step 4: Simplify right side
    6,685,256x = 214,571,989,772,176
  5. Step 5: Solve for x
    x = 214,571,989,772,176/6,685,256
  6. Step 6: Final answer
    x = 32,096,301.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.