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Finding the Third Proportional to 469,505,274,342 and 1,031,246,208,444

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Solution

The third proportional to 469,505,274,342 and 1,031,246,208,444 is: 2,265,083,696,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,505,274,342 : 1,031,246,208,444 = 1,031,246,208,444 : x
  2. Step 2: Convert to fraction form
    469,505,274,342/1,031,246,208,444 = 1,031,246,208,444/x
  3. Step 3: Cross multiply
    469,505,274,342x = 1,031,246,208,444 × 1,031,246,208,444
  4. Step 4: Simplify right side
    469,505,274,342x = 1,063,468,742,430,125,866,352,640
  5. Step 5: Solve for x
    x = 1,063,468,742,430,125,866,352,640/469,505,274,342
  6. Step 6: Final answer
    x = 2,265,083,696,707.24

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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.