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Finding the Third Proportional to 169,824,936 and 371,447,376

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Solution

The third proportional to 169,824,936 and 371,447,376 is: 812,443,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824,936 : 371,447,376 = 371,447,376 : x
  2. Step 2: Convert to fraction form
    169,824,936/371,447,376 = 371,447,376/x
  3. Step 3: Cross multiply
    169,824,936x = 371,447,376 × 371,447,376
  4. Step 4: Simplify right side
    169,824,936x = 137,973,153,137,285,376
  5. Step 5: Solve for x
    x = 137,973,153,137,285,376/169,824,936
  6. Step 6: Final answer
    x = 812,443,427.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.