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Finding the Third Proportional to 745,071,460 and 1,567,370,268

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Solution

The third proportional to 745,071,460 and 1,567,370,268 is: 3,297,199,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,071,460 : 1,567,370,268 = 1,567,370,268 : x
  2. Step 2: Convert to fraction form
    745,071,460/1,567,370,268 = 1,567,370,268/x
  3. Step 3: Cross multiply
    745,071,460x = 1,567,370,268 × 1,567,370,268
  4. Step 4: Simplify right side
    745,071,460x = 2,456,649,557,010,392,064
  5. Step 5: Solve for x
    x = 2,456,649,557,010,392,064/745,071,460
  6. Step 6: Final answer
    x = 3,297,199,918.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.