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Finding the Third Proportional to 319,293,817 and 689,681,138

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Solution

The third proportional to 319,293,817 and 689,681,138 is: 1,489,725,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,293,817 : 689,681,138 = 689,681,138 : x
  2. Step 2: Convert to fraction form
    319,293,817/689,681,138 = 689,681,138/x
  3. Step 3: Cross multiply
    319,293,817x = 689,681,138 × 689,681,138
  4. Step 4: Simplify right side
    319,293,817x = 475,660,072,112,975,040
  5. Step 5: Solve for x
    x = 475,660,072,112,975,040/319,293,817
  6. Step 6: Final answer
    x = 1,489,725,283.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.