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Finding the Third Proportional to 1,468,638,036.44 and 3,169,855,014.08

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Solution

The third proportional to 1,468,638,036.44 and 3,169,855,014.08 is: 6,841,699,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,638,036.44 : 3,169,855,014.08 = 3,169,855,014.08 : x
  2. Step 2: Convert to fraction form
    1,468,638,036.44/3,169,855,014.08 = 3,169,855,014.08/x
  3. Step 3: Cross multiply
    1,468,638,036.44x = 3,169,855,014.08 × 3,169,855,014.08
  4. Step 4: Simplify right side
    1,468,638,036.44x = 10,047,980,810,300,794,880
  5. Step 5: Solve for x
    x = 10,047,980,810,300,794,880/1,468,638,036.44
  6. Step 6: Final answer
    x = 6,841,699,970.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.