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Finding the Third Proportional to 1,648,744,972 and 3,555,762,942

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Solution

The third proportional to 1,648,744,972 and 3,555,762,942 is: 7,668,529,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,744,972 : 3,555,762,942 = 3,555,762,942 : x
  2. Step 2: Convert to fraction form
    1,648,744,972/3,555,762,942 = 3,555,762,942/x
  3. Step 3: Cross multiply
    1,648,744,972x = 3,555,762,942 × 3,555,762,942
  4. Step 4: Simplify right side
    1,648,744,972x = 12,643,450,099,700,496,384
  5. Step 5: Solve for x
    x = 12,643,450,099,700,496,384/1,648,744,972
  6. Step 6: Final answer
    x = 7,668,529,890.56

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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.