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Finding the Third Proportional to 2,158,303,898 and 4,696,658,367

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Solution

The third proportional to 2,158,303,898 and 4,696,658,367 is: 10,220,340,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158,303,898 : 4,696,658,367 = 4,696,658,367 : x
  2. Step 2: Convert to fraction form
    2,158,303,898/4,696,658,367 = 4,696,658,367/x
  3. Step 3: Cross multiply
    2,158,303,898x = 4,696,658,367 × 4,696,658,367
  4. Step 4: Simplify right side
    2,158,303,898x = 22,058,599,816,311,107,584
  5. Step 5: Solve for x
    x = 22,058,599,816,311,107,584/2,158,303,898
  6. Step 6: Final answer
    x = 10,220,340,072.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.