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Finding the Third Proportional to 994,472,345.25 and 2,165,503,531.50

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Solution

The third proportional to 994,472,345.25 and 2,165,503,531.50 is: 4,715,471,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,472,345.25 : 2,165,503,531.50 = 2,165,503,531.50 : x
  2. Step 2: Convert to fraction form
    994,472,345.25/2,165,503,531.50 = 2,165,503,531.50/x
  3. Step 3: Cross multiply
    994,472,345.25x = 2,165,503,531.50 × 2,165,503,531.50
  4. Step 4: Simplify right side
    994,472,345.25x = 4,689,405,544,938,971,136
  5. Step 5: Solve for x
    x = 4,689,405,544,938,971,136/994,472,345.25
  6. Step 6: Final answer
    x = 4,715,471,040.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.