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Finding the Third Proportional to 1,582,520,492 and 2,326,375,326

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Solution

The third proportional to 1,582,520,492 and 2,326,375,326 is: 3,419,874,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,520,492 : 2,326,375,326 = 2,326,375,326 : x
  2. Step 2: Convert to fraction form
    1,582,520,492/2,326,375,326 = 2,326,375,326/x
  3. Step 3: Cross multiply
    1,582,520,492x = 2,326,375,326 × 2,326,375,326
  4. Step 4: Simplify right side
    1,582,520,492x = 5,412,022,157,421,605,888
  5. Step 5: Solve for x
    x = 5,412,022,157,421,605,888/1,582,520,492
  6. Step 6: Final answer
    x = 3,419,874,930.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.