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Finding the Third Proportional to 832,461,831,886 and 1,324,610,423,322

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Solution

The third proportional to 832,461,831,886 and 1,324,610,423,322 is: 2,107,715,580,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,461,831,886 : 1,324,610,423,322 = 1,324,610,423,322 : x
  2. Step 2: Convert to fraction form
    832,461,831,886/1,324,610,423,322 = 1,324,610,423,322/x
  3. Step 3: Cross multiply
    832,461,831,886x = 1,324,610,423,322 × 1,324,610,423,322
  4. Step 4: Simplify right side
    832,461,831,886x = 1,754,592,773,573,288,092,762,112
  5. Step 5: Solve for x
    x = 1,754,592,773,573,288,092,762,112/832,461,831,886
  6. Step 6: Final answer
    x = 2,107,715,580,903.13

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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.