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Finding the Third Proportional to 3,903,470,975 and 5,946,730,230

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Solution

The third proportional to 3,903,470,975 and 5,946,730,230 is: 9,059,526,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903,470,975 : 5,946,730,230 = 5,946,730,230 : x
  2. Step 2: Convert to fraction form
    3,903,470,975/5,946,730,230 = 5,946,730,230/x
  3. Step 3: Cross multiply
    3,903,470,975x = 5,946,730,230 × 5,946,730,230
  4. Step 4: Simplify right side
    3,903,470,975x = 35,363,600,428,395,851,776
  5. Step 5: Solve for x
    x = 35,363,600,428,395,851,776/3,903,470,975
  6. Step 6: Final answer
    x = 9,059,526,932.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.