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Finding the Third Proportional to 4,716,909 and 10,106,433

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Solution

The third proportional to 4,716,909 and 10,106,433 is: 21,654,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716,909 : 10,106,433 = 10,106,433 : x
  2. Step 2: Convert to fraction form
    4,716,909/10,106,433 = 10,106,433/x
  3. Step 3: Cross multiply
    4,716,909x = 10,106,433 × 10,106,433
  4. Step 4: Simplify right side
    4,716,909x = 102,139,987,983,489
  5. Step 5: Solve for x
    x = 102,139,987,983,489/4,716,909
  6. Step 6: Final answer
    x = 21,654,008.59

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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.