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Finding the Third Proportional to 11,082,114,306 and 17,174,225,943

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Solution

The third proportional to 11,082,114,306 and 17,174,225,943 is: 26,615,321,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082,114,306 : 17,174,225,943 = 17,174,225,943 : x
  2. Step 2: Convert to fraction form
    11,082,114,306/17,174,225,943 = 17,174,225,943/x
  3. Step 3: Cross multiply
    11,082,114,306x = 17,174,225,943 × 17,174,225,943
  4. Step 4: Simplify right side
    11,082,114,306x = 294,954,036,741,214,240,768
  5. Step 5: Solve for x
    x = 294,954,036,741,214,240,768/11,082,114,306
  6. Step 6: Final answer
    x = 26,615,321,643.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.