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Finding the Third Proportional to 1,909,490,220 and 4,112,796,600

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Solution

The third proportional to 1,909,490,220 and 4,112,796,600 is: 8,858,435,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,490,220 : 4,112,796,600 = 4,112,796,600 : x
  2. Step 2: Convert to fraction form
    1,909,490,220/4,112,796,600 = 4,112,796,600/x
  3. Step 3: Cross multiply
    1,909,490,220x = 4,112,796,600 × 4,112,796,600
  4. Step 4: Simplify right side
    1,909,490,220x = 16,915,095,872,971,560,960
  5. Step 5: Solve for x
    x = 16,915,095,872,971,560,960/1,909,490,220
  6. Step 6: Final answer
    x = 8,858,435,458.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.