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Finding the Third Proportional to 6,619,029 and 14,283,720

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Solution

The third proportional to 6,619,029 and 14,283,720 is: 30,823,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619,029 : 14,283,720 = 14,283,720 : x
  2. Step 2: Convert to fraction form
    6,619,029/14,283,720 = 14,283,720/x
  3. Step 3: Cross multiply
    6,619,029x = 14,283,720 × 14,283,720
  4. Step 4: Simplify right side
    6,619,029x = 204,024,657,038,400
  5. Step 5: Solve for x
    x = 204,024,657,038,400/6,619,029
  6. Step 6: Final answer
    x = 30,823,955.76

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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.