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Finding the Third Proportional to 864,775,308 and 1,902,503,832

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Solution

The third proportional to 864,775,308 and 1,902,503,832 is: 4,185,504,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,775,308 : 1,902,503,832 = 1,902,503,832 : x
  2. Step 2: Convert to fraction form
    864,775,308/1,902,503,832 = 1,902,503,832/x
  3. Step 3: Cross multiply
    864,775,308x = 1,902,503,832 × 1,902,503,832
  4. Step 4: Simplify right side
    864,775,308x = 3,619,520,830,774,684,160
  5. Step 5: Solve for x
    x = 3,619,520,830,774,684,160/864,775,308
  6. Step 6: Final answer
    x = 4,185,504,370.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.