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Finding the Third Proportional to 822,125,097.75 and 1,918,358,149.50

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Solution

The third proportional to 822,125,097.75 and 1,918,358,149.50 is: 4,476,323,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,125,097.75 : 1,918,358,149.50 = 1,918,358,149.50 : x
  2. Step 2: Convert to fraction form
    822,125,097.75/1,918,358,149.50 = 1,918,358,149.50/x
  3. Step 3: Cross multiply
    822,125,097.75x = 1,918,358,149.50 × 1,918,358,149.50
  4. Step 4: Simplify right side
    822,125,097.75x = 3,680,097,989,753,064,448
  5. Step 5: Solve for x
    x = 3,680,097,989,753,064,448/822,125,097.75
  6. Step 6: Final answer
    x = 4,476,323,615.26

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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.