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Finding the Third Proportional to 832,033,266,299.75 and 1,789,284,678,075.20

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Solution

The third proportional to 832,033,266,299.75 and 1,789,284,678,075.20 is: 3,847,850,547,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,033,266,299.75 : 1,789,284,678,075.20 = 1,789,284,678,075.20 : x
  2. Step 2: Convert to fraction form
    832,033,266,299.75/1,789,284,678,075.20 = 1,789,284,678,075.20/x
  3. Step 3: Cross multiply
    832,033,266,299.75x = 1,789,284,678,075.20 × 1,789,284,678,075.20
  4. Step 4: Simplify right side
    832,033,266,299.75x = 3,201,539,659,194,671,923,462,144
  5. Step 5: Solve for x
    x = 3,201,539,659,194,671,923,462,144/832,033,266,299.75
  6. Step 6: Final answer
    x = 3,847,850,547,409.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.