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Finding the Third Proportional to 6,732,178 and 14,428,826

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Solution

The third proportional to 6,732,178 and 14,428,826 is: 30,924,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732,178 : 14,428,826 = 14,428,826 : x
  2. Step 2: Convert to fraction form
    6,732,178/14,428,826 = 14,428,826/x
  3. Step 3: Cross multiply
    6,732,178x = 14,428,826 × 14,428,826
  4. Step 4: Simplify right side
    6,732,178x = 208,191,019,738,276
  5. Step 5: Solve for x
    x = 208,191,019,738,276/6,732,178
  6. Step 6: Final answer
    x = 30,924,764.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.