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Finding the Third Proportional to 6,178,085 and 12,867,492

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Solution

The third proportional to 6,178,085 and 12,867,492 is: 26,799,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,085 : 12,867,492 = 12,867,492 : x
  2. Step 2: Convert to fraction form
    6,178,085/12,867,492 = 12,867,492/x
  3. Step 3: Cross multiply
    6,178,085x = 12,867,492 × 12,867,492
  4. Step 4: Simplify right side
    6,178,085x = 165,572,350,370,064
  5. Step 5: Solve for x
    x = 165,572,350,370,064/6,178,085
  6. Step 6: Final answer
    x = 26,799,946.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.