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Finding the Third Proportional to 773,886,874,462.75 and 1,683,645,185,032.60

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Solution

The third proportional to 773,886,874,462.75 and 1,683,645,185,032.60 is: 3,662,888,210,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,886,874,462.75 : 1,683,645,185,032.60 = 1,683,645,185,032.60 : x
  2. Step 2: Convert to fraction form
    773,886,874,462.75/1,683,645,185,032.60 = 1,683,645,185,032.60/x
  3. Step 3: Cross multiply
    773,886,874,462.75x = 1,683,645,185,032.60 × 1,683,645,185,032.60
  4. Step 4: Simplify right side
    773,886,874,462.75x = 2,834,661,109,083,458,110,488,576
  5. Step 5: Solve for x
    x = 2,834,661,109,083,458,110,488,576/773,886,874,462.75
  6. Step 6: Final answer
    x = 3,662,888,210,956.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.