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Finding the Third Proportional to 403,532,879,337 and 889,318,611,280

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Solution

The third proportional to 403,532,879,337 and 889,318,611,280 is: 1,959,908,678,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,532,879,337 : 889,318,611,280 = 889,318,611,280 : x
  2. Step 2: Convert to fraction form
    403,532,879,337/889,318,611,280 = 889,318,611,280/x
  3. Step 3: Cross multiply
    403,532,879,337x = 889,318,611,280 × 889,318,611,280
  4. Step 4: Simplify right side
    403,532,879,337x = 790,887,592,368,987,749,482,496
  5. Step 5: Solve for x
    x = 790,887,592,368,987,749,482,496/403,532,879,337
  6. Step 6: Final answer
    x = 1,959,908,678,738.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.