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Finding the Third Proportional to 832,461,831,399 and 1,324,610,422,549.50

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Solution

The third proportional to 832,461,831,399 and 1,324,610,422,549.50 is: 2,107,715,579,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,461,831,399 : 1,324,610,422,549.50 = 1,324,610,422,549.50 : x
  2. Step 2: Convert to fraction form
    832,461,831,399/1,324,610,422,549.50 = 1,324,610,422,549.50/x
  3. Step 3: Cross multiply
    832,461,831,399x = 1,324,610,422,549.50 × 1,324,610,422,549.50
  4. Step 4: Simplify right side
    832,461,831,399x = 1,754,592,771,526,764,898,811,904
  5. Step 5: Solve for x
    x = 1,754,592,771,526,764,898,811,904/832,461,831,399
  6. Step 6: Final answer
    x = 2,107,715,579,677.77

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Why These Related Problems?

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