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Finding the Third Proportional to 352,425,139 and 746,862,246

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Solution

The third proportional to 352,425,139 and 746,862,246 is: 1,582,756,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,425,139 : 746,862,246 = 746,862,246 : x
  2. Step 2: Convert to fraction form
    352,425,139/746,862,246 = 746,862,246/x
  3. Step 3: Cross multiply
    352,425,139x = 746,862,246 × 746,862,246
  4. Step 4: Simplify right side
    352,425,139x = 557,803,214,500,164,544
  5. Step 5: Solve for x
    x = 557,803,214,500,164,544/352,425,139
  6. Step 6: Final answer
    x = 1,582,756,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.