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Finding the Third Proportional to 4,143,114,075.75 and 8,877,190,542.75

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Solution

The third proportional to 4,143,114,075.75 and 8,877,190,542.75 is: 19,020,599,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143,114,075.75 : 8,877,190,542.75 = 8,877,190,542.75 : x
  2. Step 2: Convert to fraction form
    4,143,114,075.75/8,877,190,542.75 = 8,877,190,542.75/x
  3. Step 3: Cross multiply
    4,143,114,075.75x = 8,877,190,542.75 × 8,877,190,542.75
  4. Step 4: Simplify right side
    4,143,114,075.75x = 78,804,511,932,290,039,808
  5. Step 5: Solve for x
    x = 78,804,511,932,290,039,808/4,143,114,075.75
  6. Step 6: Final answer
    x = 19,020,599,117.35

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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.