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Finding the Third Proportional to 12,430,409 and 29,301,645

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Solution

The third proportional to 12,430,409 and 29,301,645 is: 69,071,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430,409 : 29,301,645 = 29,301,645 : x
  2. Step 2: Convert to fraction form
    12,430,409/29,301,645 = 29,301,645/x
  3. Step 3: Cross multiply
    12,430,409x = 29,301,645 × 29,301,645
  4. Step 4: Simplify right side
    12,430,409x = 858,586,399,706,025
  5. Step 5: Solve for x
    x = 858,586,399,706,025/12,430,409
  6. Step 6: Final answer
    x = 69,071,452.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.