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Finding the Third Proportional to 1,648,744,934 and 3,555,762,868

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Solution

The third proportional to 1,648,744,934 and 3,555,762,868 is: 7,668,529,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,744,934 : 3,555,762,868 = 3,555,762,868 : x
  2. Step 2: Convert to fraction form
    1,648,744,934/3,555,762,868 = 3,555,762,868/x
  3. Step 3: Cross multiply
    1,648,744,934x = 3,555,762,868 × 3,555,762,868
  4. Step 4: Simplify right side
    1,648,744,934x = 12,643,449,573,447,585,792
  5. Step 5: Solve for x
    x = 12,643,449,573,447,585,792/1,648,744,934
  6. Step 6: Final answer
    x = 7,668,529,748.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.