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Finding the Third Proportional to 832,461,831,393.75 and 1,324,610,422,541.60

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Solution

The third proportional to 832,461,831,393.75 and 1,324,610,422,541.60 is: 2,107,715,579,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,461,831,393.75 : 1,324,610,422,541.60 = 1,324,610,422,541.60 : x
  2. Step 2: Convert to fraction form
    832,461,831,393.75/1,324,610,422,541.60 = 1,324,610,422,541.60/x
  3. Step 3: Cross multiply
    832,461,831,393.75x = 1,324,610,422,541.60 × 1,324,610,422,541.60
  4. Step 4: Simplify right side
    832,461,831,393.75x = 1,754,592,771,505,836,328,484,864
  5. Step 5: Solve for x
    x = 1,754,592,771,505,836,328,484,864/832,461,831,393.75
  6. Step 6: Final answer
    x = 2,107,715,579,665.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.