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Finding the Third Proportional to 147,707,409 and 341,915,912

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Solution

The third proportional to 147,707,409 and 341,915,912 is: 791,473,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,707,409 : 341,915,912 = 341,915,912 : x
  2. Step 2: Convert to fraction form
    147,707,409/341,915,912 = 341,915,912/x
  3. Step 3: Cross multiply
    147,707,409x = 341,915,912 × 341,915,912
  4. Step 4: Simplify right side
    147,707,409x = 116,906,490,878,791,744
  5. Step 5: Solve for x
    x = 116,906,490,878,791,744/147,707,409
  6. Step 6: Final answer
    x = 791,473,438.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.