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Finding the Third Proportional to 446,068,404 and 966,259,584

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Solution

The third proportional to 446,068,404 and 966,259,584 is: 2,093,081,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,068,404 : 966,259,584 = 966,259,584 : x
  2. Step 2: Convert to fraction form
    446,068,404/966,259,584 = 966,259,584/x
  3. Step 3: Cross multiply
    446,068,404x = 966,259,584 × 966,259,584
  4. Step 4: Simplify right side
    446,068,404x = 933,657,583,671,853,056
  5. Step 5: Solve for x
    x = 933,657,583,671,853,056/446,068,404
  6. Step 6: Final answer
    x = 2,093,081,633.44

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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.