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Finding the Third Proportional to 162,838,836 and 351,186,120

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Solution

The third proportional to 162,838,836 and 351,186,120 is: 757,384,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,838,836 : 351,186,120 = 351,186,120 : x
  2. Step 2: Convert to fraction form
    162,838,836/351,186,120 = 351,186,120/x
  3. Step 3: Cross multiply
    162,838,836x = 351,186,120 × 351,186,120
  4. Step 4: Simplify right side
    162,838,836x = 123,331,690,880,654,400
  5. Step 5: Solve for x
    x = 123,331,690,880,654,400/162,838,836
  6. Step 6: Final answer
    x = 757,384,994.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.