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Finding the Third Proportional to 866,106,896.06 and 2,020,985,936.16

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Solution

The third proportional to 866,106,896.06 and 2,020,985,936.16 is: 4,715,796,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,106,896.06 : 2,020,985,936.16 = 2,020,985,936.16 : x
  2. Step 2: Convert to fraction form
    866,106,896.06/2,020,985,936.16 = 2,020,985,936.16/x
  3. Step 3: Cross multiply
    866,106,896.06x = 2,020,985,936.16 × 2,020,985,936.16
  4. Step 4: Simplify right side
    866,106,896.06x = 4,084,384,154,141,151,744
  5. Step 5: Solve for x
    x = 4,084,384,154,141,151,744/866,106,896.06
  6. Step 6: Final answer
    x = 4,715,796,829.13

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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.