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Finding the Third Proportional to 340,273,536 and 746,424,768

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Solution

The third proportional to 340,273,536 and 746,424,768 is: 1,637,358,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,273,536 : 746,424,768 = 746,424,768 : x
  2. Step 2: Convert to fraction form
    340,273,536/746,424,768 = 746,424,768/x
  3. Step 3: Cross multiply
    340,273,536x = 746,424,768 × 746,424,768
  4. Step 4: Simplify right side
    340,273,536x = 557,149,934,283,853,824
  5. Step 5: Solve for x
    x = 557,149,934,283,853,824/340,273,536
  6. Step 6: Final answer
    x = 1,637,358,993.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.