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Finding the Third Proportional to 663,167,942,829 and 1,018,707,091,290

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Solution

The third proportional to 663,167,942,829 and 1,018,707,091,290 is: 1,564,858,719,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,167,942,829 : 1,018,707,091,290 = 1,018,707,091,290 : x
  2. Step 2: Convert to fraction form
    663,167,942,829/1,018,707,091,290 = 1,018,707,091,290/x
  3. Step 3: Cross multiply
    663,167,942,829x = 1,018,707,091,290 × 1,018,707,091,290
  4. Step 4: Simplify right side
    663,167,942,829x = 1,037,764,137,844,532,391,706,624
  5. Step 5: Solve for x
    x = 1,037,764,137,844,532,391,706,624/663,167,942,829
  6. Step 6: Final answer
    x = 1,564,858,719,523.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.