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Finding the Third Proportional to 469,505,274,343 and 1,031,246,208,445

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Solution

The third proportional to 469,505,274,343 and 1,031,246,208,445 is: 2,265,083,696,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,505,274,343 : 1,031,246,208,445 = 1,031,246,208,445 : x
  2. Step 2: Convert to fraction form
    469,505,274,343/1,031,246,208,445 = 1,031,246,208,445/x
  3. Step 3: Cross multiply
    469,505,274,343x = 1,031,246,208,445 × 1,031,246,208,445
  4. Step 4: Simplify right side
    469,505,274,343x = 1,063,468,742,432,188,390,178,816
  5. Step 5: Solve for x
    x = 1,063,468,742,432,188,390,178,816/469,505,274,343
  6. Step 6: Final answer
    x = 2,265,083,696,706.81

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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.