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Finding the Third Proportional to 4,143,114,054 and 8,877,190,500

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Solution

The third proportional to 4,143,114,054 and 8,877,190,500 is: 19,020,599,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143,114,054 : 8,877,190,500 = 8,877,190,500 : x
  2. Step 2: Convert to fraction form
    4,143,114,054/8,877,190,500 = 8,877,190,500/x
  3. Step 3: Cross multiply
    4,143,114,054x = 8,877,190,500 × 8,877,190,500
  4. Step 4: Simplify right side
    4,143,114,054x = 78,804,511,173,290,246,144
  5. Step 5: Solve for x
    x = 78,804,511,173,290,246,144/4,143,114,054
  6. Step 6: Final answer
    x = 19,020,599,034.01

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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.