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Finding the Third Proportional to 1,093,086,159 and 2,360,350,662.75

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Solution

The third proportional to 1,093,086,159 and 2,360,350,662.75 is: 5,096,812,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,086,159 : 2,360,350,662.75 = 2,360,350,662.75 : x
  2. Step 2: Convert to fraction form
    1,093,086,159/2,360,350,662.75 = 2,360,350,662.75/x
  3. Step 3: Cross multiply
    1,093,086,159x = 2,360,350,662.75 × 2,360,350,662.75
  4. Step 4: Simplify right side
    1,093,086,159x = 5,571,255,251,144,364,032
  5. Step 5: Solve for x
    x = 5,571,255,251,144,364,032/1,093,086,159
  6. Step 6: Final answer
    x = 5,096,812,547.92

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Why These Related Problems?

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