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Finding the Third Proportional to 11,098,685,896 and 25,897,828,728

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Solution

The third proportional to 11,098,685,896 and 25,897,828,728 is: 60,430,355,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098,685,896 : 25,897,828,728 = 25,897,828,728 : x
  2. Step 2: Convert to fraction form
    11,098,685,896/25,897,828,728 = 25,897,828,728/x
  3. Step 3: Cross multiply
    11,098,685,896x = 25,897,828,728 × 25,897,828,728
  4. Step 4: Simplify right side
    11,098,685,896x = 670,697,532,824,822,087,680
  5. Step 5: Solve for x
    x = 670,697,532,824,822,087,680/11,098,685,896
  6. Step 6: Final answer
    x = 60,430,355,369.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.