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Finding the Third Proportional to 6,936,256 and 11,046,492

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Solution

The third proportional to 6,936,256 and 11,046,492 is: 17,592,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936,256 : 11,046,492 = 11,046,492 : x
  2. Step 2: Convert to fraction form
    6,936,256/11,046,492 = 11,046,492/x
  3. Step 3: Cross multiply
    6,936,256x = 11,046,492 × 11,046,492
  4. Step 4: Simplify right side
    6,936,256x = 122,024,985,506,064
  5. Step 5: Solve for x
    x = 122,024,985,506,064/6,936,256
  6. Step 6: Final answer
    x = 17,592,341.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.