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Finding the Third Proportional to 1,511,588,733 and 3,313,742,832

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Solution

The third proportional to 1,511,588,733 and 3,313,742,832 is: 7,264,470,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,588,733 : 3,313,742,832 = 3,313,742,832 : x
  2. Step 2: Convert to fraction form
    1,511,588,733/3,313,742,832 = 3,313,742,832/x
  3. Step 3: Cross multiply
    1,511,588,733x = 3,313,742,832 × 3,313,742,832
  4. Step 4: Simplify right side
    1,511,588,733x = 10,980,891,556,631,379,968
  5. Step 5: Solve for x
    x = 10,980,891,556,631,379,968/1,511,588,733
  6. Step 6: Final answer
    x = 7,264,470,366.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.