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Finding the Third Proportional to 12,980,409 and 27,698,184

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Solution

The third proportional to 12,980,409 and 27,698,184 is: 59,103,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980,409 : 27,698,184 = 27,698,184 : x
  2. Step 2: Convert to fraction form
    12,980,409/27,698,184 = 27,698,184/x
  3. Step 3: Cross multiply
    12,980,409x = 27,698,184 × 27,698,184
  4. Step 4: Simplify right side
    12,980,409x = 767,189,396,897,856
  5. Step 5: Solve for x
    x = 767,189,396,897,856/12,980,409
  6. Step 6: Final answer
    x = 59,103,638.17

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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.