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Finding the Third Proportional to 786,881,985.75 and 1,629,476,696.25

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Solution

The third proportional to 786,881,985.75 and 1,629,476,696.25 is: 3,374,323,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,881,985.75 : 1,629,476,696.25 = 1,629,476,696.25 : x
  2. Step 2: Convert to fraction form
    786,881,985.75/1,629,476,696.25 = 1,629,476,696.25/x
  3. Step 3: Cross multiply
    786,881,985.75x = 1,629,476,696.25 × 1,629,476,696.25
  4. Step 4: Simplify right side
    786,881,985.75x = 2,655,194,303,621,814,784
  5. Step 5: Solve for x
    x = 2,655,194,303,621,814,784/786,881,985.75
  6. Step 6: Final answer
    x = 3,374,323,407.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.