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Finding the Third Proportional to 1,417,135,368 and 1,994,769,263

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Solution

The third proportional to 1,417,135,368 and 1,994,769,263 is: 2,807,850,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,135,368 : 1,994,769,263 = 1,994,769,263 : x
  2. Step 2: Convert to fraction form
    1,417,135,368/1,994,769,263 = 1,994,769,263/x
  3. Step 3: Cross multiply
    1,417,135,368x = 1,994,769,263 × 1,994,769,263
  4. Step 4: Simplify right side
    1,417,135,368x = 3,979,104,412,609,563,136
  5. Step 5: Solve for x
    x = 3,979,104,412,609,563,136/1,417,135,368
  6. Step 6: Final answer
    x = 2,807,850,613.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.