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Finding the Third Proportional to 1,088,311,056 and 2,222,301,984

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Solution

The third proportional to 1,088,311,056 and 2,222,301,984 is: 4,537,881,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088,311,056 : 2,222,301,984 = 2,222,301,984 : x
  2. Step 2: Convert to fraction form
    1,088,311,056/2,222,301,984 = 2,222,301,984/x
  3. Step 3: Cross multiply
    1,088,311,056x = 2,222,301,984 × 2,222,301,984
  4. Step 4: Simplify right side
    1,088,311,056x = 4,938,626,108,090,336,256
  5. Step 5: Solve for x
    x = 4,938,626,108,090,336,256/1,088,311,056
  6. Step 6: Final answer
    x = 4,537,881,041.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.