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Finding the Third Proportional to 1,071,107,228 and 1,655,132,268

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Solution

The third proportional to 1,071,107,228 and 1,655,132,268 is: 2,557,599,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,107,228 : 1,655,132,268 = 1,655,132,268 : x
  2. Step 2: Convert to fraction form
    1,071,107,228/1,655,132,268 = 1,655,132,268/x
  3. Step 3: Cross multiply
    1,071,107,228x = 1,655,132,268 × 1,655,132,268
  4. Step 4: Simplify right side
    1,071,107,228x = 2,739,462,824,574,823,936
  5. Step 5: Solve for x
    x = 2,739,462,824,574,823,936/1,071,107,228
  6. Step 6: Final answer
    x = 2,557,599,046.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.