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Finding the Third Proportional to 7,840,476 and 16,815,942

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Solution

The third proportional to 7,840,476 and 16,815,942 is: 36,066,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840,476 : 16,815,942 = 16,815,942 : x
  2. Step 2: Convert to fraction form
    7,840,476/16,815,942 = 16,815,942/x
  3. Step 3: Cross multiply
    7,840,476x = 16,815,942 × 16,815,942
  4. Step 4: Simplify right side
    7,840,476x = 282,775,905,347,364
  5. Step 5: Solve for x
    x = 282,775,905,347,364/7,840,476
  6. Step 6: Final answer
    x = 36,066,165.54

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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.