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Finding the Third Proportional to 822,125,104 and 1,918,358,164

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Solution

The third proportional to 822,125,104 and 1,918,358,164 is: 4,476,323,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,125,104 : 1,918,358,164 = 1,918,358,164 : x
  2. Step 2: Convert to fraction form
    822,125,104/1,918,358,164 = 1,918,358,164/x
  3. Step 3: Cross multiply
    822,125,104x = 1,918,358,164 × 1,918,358,164
  4. Step 4: Simplify right side
    822,125,104x = 3,680,098,045,385,451,008
  5. Step 5: Solve for x
    x = 3,680,098,045,385,451,008/822,125,104
  6. Step 6: Final answer
    x = 4,476,323,648.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.