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Finding the Third Proportional to 469,505,274,345 and 1,031,246,208,450

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Solution

The third proportional to 469,505,274,345 and 1,031,246,208,450 is: 2,265,083,696,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,505,274,345 : 1,031,246,208,450 = 1,031,246,208,450 : x
  2. Step 2: Convert to fraction form
    469,505,274,345/1,031,246,208,450 = 1,031,246,208,450/x
  3. Step 3: Cross multiply
    469,505,274,345x = 1,031,246,208,450 × 1,031,246,208,450
  4. Step 4: Simplify right side
    469,505,274,345x = 1,063,468,742,442,500,875,091,968
  5. Step 5: Solve for x
    x = 1,063,468,742,442,500,875,091,968/469,505,274,345
  6. Step 6: Final answer
    x = 2,265,083,696,719.13

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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.