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Finding the Third Proportional to 1,817,065,466 and 3,944,245,435

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Solution

The third proportional to 1,817,065,466 and 3,944,245,435 is: 8,561,646,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,065,466 : 3,944,245,435 = 3,944,245,435 : x
  2. Step 2: Convert to fraction form
    1,817,065,466/3,944,245,435 = 3,944,245,435/x
  3. Step 3: Cross multiply
    1,817,065,466x = 3,944,245,435 × 3,944,245,435
  4. Step 4: Simplify right side
    1,817,065,466x = 15,557,072,051,518,339,072
  5. Step 5: Solve for x
    x = 15,557,072,051,518,339,072/1,817,065,466
  6. Step 6: Final answer
    x = 8,561,646,425.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.