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Finding the Third Proportional to 40,826,700,868 and 64,044,988,922

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Solution

The third proportional to 40,826,700,868 and 64,044,988,922 is: 100,467,598,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,826,700,868 : 64,044,988,922 = 64,044,988,922 : x
  2. Step 2: Convert to fraction form
    40,826,700,868/64,044,988,922 = 64,044,988,922/x
  3. Step 3: Cross multiply
    40,826,700,868x = 64,044,988,922 × 64,044,988,922
  4. Step 4: Simplify right side
    40,826,700,868x = 4,101,760,606,019,102,703,616
  5. Step 5: Solve for x
    x = 4,101,760,606,019,102,703,616/40,826,700,868
  6. Step 6: Final answer
    x = 100,467,598,870.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.