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Finding the Third Proportional to 33,952,128,404,250 and 73,853,021,043,222

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Solution

The third proportional to 33,952,128,404,250 and 73,853,021,043,222 is: 160,645,855,607,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,952,128,404,250 : 73,853,021,043,222 = 73,853,021,043,222 : x
  2. Step 2: Convert to fraction form
    33,952,128,404,250/73,853,021,043,222 = 73,853,021,043,222/x
  3. Step 3: Cross multiply
    33,952,128,404,250x = 73,853,021,043,222 × 73,853,021,043,222
  4. Step 4: Simplify right side
    33,952,128,404,250x = 5,454,268,717,210,591,742,954,307,584
  5. Step 5: Solve for x
    x = 5,454,268,717,210,591,742,954,307,584/33,952,128,404,250
  6. Step 6: Final answer
    x = 160,645,855,607,916.66

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