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Finding the Third Proportional to 352,425,136.50 and 746,862,241.50

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Solution

The third proportional to 352,425,136.50 and 746,862,241.50 is: 1,582,756,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,425,136.50 : 746,862,241.50 = 746,862,241.50 : x
  2. Step 2: Convert to fraction form
    352,425,136.50/746,862,241.50 = 746,862,241.50/x
  3. Step 3: Cross multiply
    352,425,136.50x = 746,862,241.50 × 746,862,241.50
  4. Step 4: Simplify right side
    352,425,136.50x = 557,803,207,778,404,352
  5. Step 5: Solve for x
    x = 557,803,207,778,404,352/352,425,136.50
  6. Step 6: Final answer
    x = 1,582,756,591.42

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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.