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Finding the Third Proportional to 2,289,257,482 and 4,958,827,973

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Solution

The third proportional to 2,289,257,482 and 4,958,827,973 is: 10,741,463,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,257,482 : 4,958,827,973 = 4,958,827,973 : x
  2. Step 2: Convert to fraction form
    2,289,257,482/4,958,827,973 = 4,958,827,973/x
  3. Step 3: Cross multiply
    2,289,257,482x = 4,958,827,973 × 4,958,827,973
  4. Step 4: Simplify right side
    2,289,257,482x = 24,589,974,865,807,290,368
  5. Step 5: Solve for x
    x = 24,589,974,865,807,290,368/2,289,257,482
  6. Step 6: Final answer
    x = 10,741,463,142.16

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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.