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Finding the Third Proportional to 14,046,980 and 30,646,564

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Solution

The third proportional to 14,046,980 and 30,646,564 is: 66,862,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046,980 : 30,646,564 = 30,646,564 : x
  2. Step 2: Convert to fraction form
    14,046,980/30,646,564 = 30,646,564/x
  3. Step 3: Cross multiply
    14,046,980x = 30,646,564 × 30,646,564
  4. Step 4: Simplify right side
    14,046,980x = 939,211,885,006,096
  5. Step 5: Solve for x
    x = 939,211,885,006,096/14,046,980
  6. Step 6: Final answer
    x = 66,862,192.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.