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Finding the Third Proportional to 625,688,826 and 946,586,136

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Solution

The third proportional to 625,688,826 and 946,586,136 is: 1,432,062,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,688,826 : 946,586,136 = 946,586,136 : x
  2. Step 2: Convert to fraction form
    625,688,826/946,586,136 = 946,586,136/x
  3. Step 3: Cross multiply
    625,688,826x = 946,586,136 × 946,586,136
  4. Step 4: Simplify right side
    625,688,826x = 896,025,312,867,410,432
  5. Step 5: Solve for x
    x = 896,025,312,867,410,432/625,688,826
  6. Step 6: Final answer
    x = 1,432,062,193.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.