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Finding the Third Proportional to 672,585,690 and 946,736,136

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Solution

The third proportional to 672,585,690 and 946,736,136 is: 1,332,632,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,585,690 : 946,736,136 = 946,736,136 : x
  2. Step 2: Convert to fraction form
    672,585,690/946,736,136 = 946,736,136/x
  3. Step 3: Cross multiply
    672,585,690x = 946,736,136 × 946,736,136
  4. Step 4: Simplify right side
    672,585,690x = 896,309,311,208,210,432
  5. Step 5: Solve for x
    x = 896,309,311,208,210,432/672,585,690
  6. Step 6: Final answer
    x = 1,332,632,145.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.