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Finding the Third Proportional to 10,522,060,183.50 and 22,896,426,823

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Solution

The third proportional to 10,522,060,183.50 and 22,896,426,823 is: 49,823,547,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522,060,183.50 : 22,896,426,823 = 22,896,426,823 : x
  2. Step 2: Convert to fraction form
    10,522,060,183.50/22,896,426,823 = 22,896,426,823/x
  3. Step 3: Cross multiply
    10,522,060,183.50x = 22,896,426,823 × 22,896,426,823
  4. Step 4: Simplify right side
    10,522,060,183.50x = 524,246,361,260,993,871,872
  5. Step 5: Solve for x
    x = 524,246,361,260,993,871,872/10,522,060,183.50
  6. Step 6: Final answer
    x = 49,823,547,111.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.