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Finding the Third Proportional to 292,271,364 and 642,396,168

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Solution

The third proportional to 292,271,364 and 642,396,168 is: 1,411,950,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,271,364 : 642,396,168 = 642,396,168 : x
  2. Step 2: Convert to fraction form
    292,271,364/642,396,168 = 642,396,168/x
  3. Step 3: Cross multiply
    292,271,364x = 642,396,168 × 642,396,168
  4. Step 4: Simplify right side
    292,271,364x = 412,672,836,661,084,224
  5. Step 5: Solve for x
    x = 412,672,836,661,084,224/292,271,364
  6. Step 6: Final answer
    x = 1,411,950,972.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.