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Finding the Third Proportional to 356,071,318 and 759,174,796

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Solution

The third proportional to 356,071,318 and 759,174,796 is: 1,618,626,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,071,318 : 759,174,796 = 759,174,796 : x
  2. Step 2: Convert to fraction form
    356,071,318/759,174,796 = 759,174,796/x
  3. Step 3: Cross multiply
    356,071,318x = 759,174,796 × 759,174,796
  4. Step 4: Simplify right side
    356,071,318x = 576,346,370,881,641,600
  5. Step 5: Solve for x
    x = 576,346,370,881,641,600/356,071,318
  6. Step 6: Final answer
    x = 1,618,626,218.25

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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.