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Finding the Third Proportional to 6,559,492 and 14,197,256

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Solution

The third proportional to 6,559,492 and 14,197,256 is: 30,728,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559,492 : 14,197,256 = 14,197,256 : x
  2. Step 2: Convert to fraction form
    6,559,492/14,197,256 = 14,197,256/x
  3. Step 3: Cross multiply
    6,559,492x = 14,197,256 × 14,197,256
  4. Step 4: Simplify right side
    6,559,492x = 201,562,077,929,536
  5. Step 5: Solve for x
    x = 201,562,077,929,536/6,559,492
  6. Step 6: Final answer
    x = 30,728,306.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.