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Finding the Third Proportional to 1,071,107,226 and 1,655,132,265

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Solution

The third proportional to 1,071,107,226 and 1,655,132,265 is: 2,557,599,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,107,226 : 1,655,132,265 = 1,655,132,265 : x
  2. Step 2: Convert to fraction form
    1,071,107,226/1,655,132,265 = 1,655,132,265/x
  3. Step 3: Cross multiply
    1,071,107,226x = 1,655,132,265 × 1,655,132,265
  4. Step 4: Simplify right side
    1,071,107,226x = 2,739,462,814,644,030,464
  5. Step 5: Solve for x
    x = 2,739,462,814,644,030,464/1,071,107,226
  6. Step 6: Final answer
    x = 2,557,599,041.58

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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.