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Finding the Third Proportional to 10,163,016,912 and 22,014,421,152

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Solution

The third proportional to 10,163,016,912 and 22,014,421,152 is: 47,686,109,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163,016,912 : 22,014,421,152 = 22,014,421,152 : x
  2. Step 2: Convert to fraction form
    10,163,016,912/22,014,421,152 = 22,014,421,152/x
  3. Step 3: Cross multiply
    10,163,016,912x = 22,014,421,152 × 22,014,421,152
  4. Step 4: Simplify right side
    10,163,016,912x = 484,634,738,657,624,981,504
  5. Step 5: Solve for x
    x = 484,634,738,657,624,981,504/10,163,016,912
  6. Step 6: Final answer
    x = 47,686,109,632.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.