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Finding the Third Proportional to 1,090,320,321 and 2,380,462,455

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Solution

The third proportional to 1,090,320,321 and 2,380,462,455 is: 5,197,189,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,320,321 : 2,380,462,455 = 2,380,462,455 : x
  2. Step 2: Convert to fraction form
    1,090,320,321/2,380,462,455 = 2,380,462,455/x
  3. Step 3: Cross multiply
    1,090,320,321x = 2,380,462,455 × 2,380,462,455
  4. Step 4: Simplify right side
    1,090,320,321x = 5,666,601,499,664,626,688
  5. Step 5: Solve for x
    x = 5,666,601,499,664,626,688/1,090,320,321
  6. Step 6: Final answer
    x = 5,197,189,661.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.