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Finding the Third Proportional to 1,148,427,288 and 2,519,174,304

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Solution

The third proportional to 1,148,427,288 and 2,519,174,304 is: 5,526,026,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,427,288 : 2,519,174,304 = 2,519,174,304 : x
  2. Step 2: Convert to fraction form
    1,148,427,288/2,519,174,304 = 2,519,174,304/x
  3. Step 3: Cross multiply
    1,148,427,288x = 2,519,174,304 × 2,519,174,304
  4. Step 4: Simplify right side
    1,148,427,288x = 6,346,239,173,933,884,416
  5. Step 5: Solve for x
    x = 6,346,239,173,933,884,416/1,148,427,288
  6. Step 6: Final answer
    x = 5,526,026,105.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.