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Finding the Third Proportional to 1,225,152,520 and 2,688,351,728

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Solution

The third proportional to 1,225,152,520 and 2,688,351,728 is: 5,899,049,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,152,520 : 2,688,351,728 = 2,688,351,728 : x
  2. Step 2: Convert to fraction form
    1,225,152,520/2,688,351,728 = 2,688,351,728/x
  3. Step 3: Cross multiply
    1,225,152,520x = 2,688,351,728 × 2,688,351,728
  4. Step 4: Simplify right side
    1,225,152,520x = 7,227,235,013,440,585,728
  5. Step 5: Solve for x
    x = 7,227,235,013,440,585,728/1,225,152,520
  6. Step 6: Final answer
    x = 5,899,049,216.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.