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Finding the Third Proportional to 9,075,092,096 and 19,699,007,872

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Solution

The third proportional to 9,075,092,096 and 19,699,007,872 is: 42,759,997,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075,092,096 : 19,699,007,872 = 19,699,007,872 : x
  2. Step 2: Convert to fraction form
    9,075,092,096/19,699,007,872 = 19,699,007,872/x
  3. Step 3: Cross multiply
    9,075,092,096x = 19,699,007,872 × 19,699,007,872
  4. Step 4: Simplify right side
    9,075,092,096x = 388,050,911,141,117,952,000
  5. Step 5: Solve for x
    x = 388,050,911,141,117,952,000/9,075,092,096
  6. Step 6: Final answer
    x = 42,759,997,037.62

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