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Finding the Third Proportional to 586,050,766,965 and 1,269,462,455,152

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Solution

The third proportional to 586,050,766,965 and 1,269,462,455,152 is: 2,749,821,373,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,050,766,965 : 1,269,462,455,152 = 1,269,462,455,152 : x
  2. Step 2: Convert to fraction form
    586,050,766,965/1,269,462,455,152 = 1,269,462,455,152/x
  3. Step 3: Cross multiply
    586,050,766,965x = 1,269,462,455,152 × 1,269,462,455,152
  4. Step 4: Simplify right side
    586,050,766,965x = 1,611,534,925,040,543,607,029,760
  5. Step 5: Solve for x
    x = 1,611,534,925,040,543,607,029,760/586,050,766,965
  6. Step 6: Final answer
    x = 2,749,821,373,643.54

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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.