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Finding the Third Proportional to 4,716,996 and 10,106,700

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Solution

The third proportional to 4,716,996 and 10,106,700 is: 21,654,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716,996 : 10,106,700 = 10,106,700 : x
  2. Step 2: Convert to fraction form
    4,716,996/10,106,700 = 10,106,700/x
  3. Step 3: Cross multiply
    4,716,996x = 10,106,700 × 10,106,700
  4. Step 4: Simplify right side
    4,716,996x = 102,145,384,890,000
  5. Step 5: Solve for x
    x = 102,145,384,890,000/4,716,996
  6. Step 6: Final answer
    x = 21,654,753.34

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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.