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Finding the Third Proportional to 6,423,840 and 14,264,832

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Solution

The third proportional to 6,423,840 and 14,264,832 is: 31,676,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,840 : 14,264,832 = 14,264,832 : x
  2. Step 2: Convert to fraction form
    6,423,840/14,264,832 = 14,264,832/x
  3. Step 3: Cross multiply
    6,423,840x = 14,264,832 × 14,264,832
  4. Step 4: Simplify right side
    6,423,840x = 203,485,431,988,224
  5. Step 5: Solve for x
    x = 203,485,431,988,224/6,423,840
  6. Step 6: Final answer
    x = 31,676,603.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.