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Finding the Third Proportional to 822,125,128.50 and 1,918,358,208

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Solution

The third proportional to 822,125,128.50 and 1,918,358,208 is: 4,476,323,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,125,128.50 : 1,918,358,208 = 1,918,358,208 : x
  2. Step 2: Convert to fraction form
    822,125,128.50/1,918,358,208 = 1,918,358,208/x
  3. Step 3: Cross multiply
    822,125,128.50x = 1,918,358,208 × 1,918,358,208
  4. Step 4: Simplify right side
    822,125,128.50x = 3,680,098,214,200,971,264
  5. Step 5: Solve for x
    x = 3,680,098,214,200,971,264/822,125,128.50
  6. Step 6: Final answer
    x = 4,476,323,720.84

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