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Finding the Third Proportional to 2,842,878,819.50 and 6,080,106,168

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Solution

The third proportional to 2,842,878,819.50 and 6,080,106,168 is: 13,003,611,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,878,819.50 : 6,080,106,168 = 6,080,106,168 : x
  2. Step 2: Convert to fraction form
    2,842,878,819.50/6,080,106,168 = 6,080,106,168/x
  3. Step 3: Cross multiply
    2,842,878,819.50x = 6,080,106,168 × 6,080,106,168
  4. Step 4: Simplify right side
    2,842,878,819.50x = 36,967,691,014,151,643,136
  5. Step 5: Solve for x
    x = 36,967,691,014,151,643,136/2,842,878,819.50
  6. Step 6: Final answer
    x = 13,003,611,255.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.