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Finding the Third Proportional to 2,289,257,480 and 4,958,827,969

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Solution

The third proportional to 2,289,257,480 and 4,958,827,969 is: 10,741,463,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,257,480 : 4,958,827,969 = 4,958,827,969 : x
  2. Step 2: Convert to fraction form
    2,289,257,480/4,958,827,969 = 4,958,827,969/x
  3. Step 3: Cross multiply
    2,289,257,480x = 4,958,827,969 × 4,958,827,969
  4. Step 4: Simplify right side
    2,289,257,480x = 24,589,974,826,136,666,112
  5. Step 5: Solve for x
    x = 24,589,974,826,136,666,112/2,289,257,480
  6. Step 6: Final answer
    x = 10,741,463,134.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.