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Finding the Third Proportional to 1,648,744,930 and 3,555,762,860

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Solution

The third proportional to 1,648,744,930 and 3,555,762,860 is: 7,668,529,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,744,930 : 3,555,762,860 = 3,555,762,860 : x
  2. Step 2: Convert to fraction form
    1,648,744,930/3,555,762,860 = 3,555,762,860/x
  3. Step 3: Cross multiply
    1,648,744,930x = 3,555,762,860 × 3,555,762,860
  4. Step 4: Simplify right side
    1,648,744,930x = 12,643,449,516,555,378,688
  5. Step 5: Solve for x
    x = 12,643,449,516,555,378,688/1,648,744,930
  6. Step 6: Final answer
    x = 7,668,529,732.22

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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.