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Finding the Third Proportional to 2,537,742,474 and 3,879,553,806

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Solution

The third proportional to 2,537,742,474 and 3,879,553,806 is: 5,930,837,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,742,474 : 3,879,553,806 = 3,879,553,806 : x
  2. Step 2: Convert to fraction form
    2,537,742,474/3,879,553,806 = 3,879,553,806/x
  3. Step 3: Cross multiply
    2,537,742,474x = 3,879,553,806 × 3,879,553,806
  4. Step 4: Simplify right side
    2,537,742,474x = 15,050,937,733,649,086,464
  5. Step 5: Solve for x
    x = 15,050,937,733,649,086,464/2,537,742,474
  6. Step 6: Final answer
    x = 5,930,837,304.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.