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Finding the Third Proportional to 874,262,187.84 and 1,427,440,338.98

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Solution

The third proportional to 874,262,187.84 and 1,427,440,338.98 is: 2,330,634,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,262,187.84 : 1,427,440,338.98 = 1,427,440,338.98 : x
  2. Step 2: Convert to fraction form
    874,262,187.84/1,427,440,338.98 = 1,427,440,338.98/x
  3. Step 3: Cross multiply
    874,262,187.84x = 1,427,440,338.98 × 1,427,440,338.98
  4. Step 4: Simplify right side
    874,262,187.84x = 2,037,585,921,359,898,880
  5. Step 5: Solve for x
    x = 2,037,585,921,359,898,880/874,262,187.84
  6. Step 6: Final answer
    x = 2,330,634,848.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.