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Finding the Third Proportional to 6,820,938 and 14,534,784

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Solution

The third proportional to 6,820,938 and 14,534,784 is: 30,972,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820,938 : 14,534,784 = 14,534,784 : x
  2. Step 2: Convert to fraction form
    6,820,938/14,534,784 = 14,534,784/x
  3. Step 3: Cross multiply
    6,820,938x = 14,534,784 × 14,534,784
  4. Step 4: Simplify right side
    6,820,938x = 211,259,945,926,656
  5. Step 5: Solve for x
    x = 211,259,945,926,656/6,820,938
  6. Step 6: Final answer
    x = 30,972,271.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.