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Finding the Third Proportional to 1,952,460,596 and 2,974,371,987

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Solution

The third proportional to 1,952,460,596 and 2,974,371,987 is: 4,531,148,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,460,596 : 2,974,371,987 = 2,974,371,987 : x
  2. Step 2: Convert to fraction form
    1,952,460,596/2,974,371,987 = 2,974,371,987/x
  3. Step 3: Cross multiply
    1,952,460,596x = 2,974,371,987 × 2,974,371,987
  4. Step 4: Simplify right side
    1,952,460,596x = 8,846,888,717,050,328,064
  5. Step 5: Solve for x
    x = 8,846,888,717,050,328,064/1,952,460,596
  6. Step 6: Final answer
    x = 4,531,148,405.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.