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Finding the Third Proportional to 476,123,563,560 and 1,027,988,039,400

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Solution

The third proportional to 476,123,563,560 and 1,027,988,039,400 is: 2,219,506,636,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,123,563,560 : 1,027,988,039,400 = 1,027,988,039,400 : x
  2. Step 2: Convert to fraction form
    476,123,563,560/1,027,988,039,400 = 1,027,988,039,400/x
  3. Step 3: Cross multiply
    476,123,563,560x = 1,027,988,039,400 × 1,027,988,039,400
  4. Step 4: Simplify right side
    476,123,563,560x = 1,056,759,409,149,455,892,480,000
  5. Step 5: Solve for x
    x = 1,056,759,409,149,455,892,480,000/476,123,563,560
  6. Step 6: Final answer
    x = 2,219,506,636,571.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.