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Finding the Third Proportional to 8,817,106,094 and 19,036,822,764

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Solution

The third proportional to 8,817,106,094 and 19,036,822,764 is: 41,101,991,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817,106,094 : 19,036,822,764 = 19,036,822,764 : x
  2. Step 2: Convert to fraction form
    8,817,106,094/19,036,822,764 = 19,036,822,764/x
  3. Step 3: Cross multiply
    8,817,106,094x = 19,036,822,764 × 19,036,822,764
  4. Step 4: Simplify right side
    8,817,106,094x = 362,400,620,947,948,568,576
  5. Step 5: Solve for x
    x = 362,400,620,947,948,568,576/8,817,106,094
  6. Step 6: Final answer
    x = 41,101,991,638.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.