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Finding the Third Proportional to 21,410,169 and 46,679,421

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Solution

The third proportional to 21,410,169 and 46,679,421 is: 101,772,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410,169 : 46,679,421 = 46,679,421 : x
  2. Step 2: Convert to fraction form
    21,410,169/46,679,421 = 46,679,421/x
  3. Step 3: Cross multiply
    21,410,169x = 46,679,421 × 46,679,421
  4. Step 4: Simplify right side
    21,410,169x = 2,178,968,344,895,241
  5. Step 5: Solve for x
    x = 2,178,968,344,895,241/21,410,169
  6. Step 6: Final answer
    x = 101,772,589.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.