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Finding the Third Proportional to 1,142,137,975 and 1,541,012,289

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Solution

The third proportional to 1,142,137,975 and 1,541,012,289 is: 2,079,187,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,137,975 : 1,541,012,289 = 1,541,012,289 : x
  2. Step 2: Convert to fraction form
    1,142,137,975/1,541,012,289 = 1,541,012,289/x
  3. Step 3: Cross multiply
    1,142,137,975x = 1,541,012,289 × 1,541,012,289
  4. Step 4: Simplify right side
    1,142,137,975x = 2,374,718,874,849,019,392
  5. Step 5: Solve for x
    x = 2,374,718,874,849,019,392/1,142,137,975
  6. Step 6: Final answer
    x = 2,079,187,389.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.