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Finding the Third Proportional to 356,071,384 and 759,174,916

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Solution

The third proportional to 356,071,384 and 759,174,916 is: 1,618,626,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,071,384 : 759,174,916 = 759,174,916 : x
  2. Step 2: Convert to fraction form
    356,071,384/759,174,916 = 759,174,916/x
  3. Step 3: Cross multiply
    356,071,384x = 759,174,916 × 759,174,916
  4. Step 4: Simplify right side
    356,071,384x = 576,346,553,083,607,040
  5. Step 5: Solve for x
    x = 576,346,553,083,607,040/356,071,384
  6. Step 6: Final answer
    x = 1,618,626,429.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.