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Finding the Third Proportional to 1,648,744,764 and 3,555,762,564

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Solution

The third proportional to 1,648,744,764 and 3,555,762,564 is: 7,668,529,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,744,764 : 3,555,762,564 = 3,555,762,564 : x
  2. Step 2: Convert to fraction form
    1,648,744,764/3,555,762,564 = 3,555,762,564/x
  3. Step 3: Cross multiply
    1,648,744,764x = 3,555,762,564 × 3,555,762,564
  4. Step 4: Simplify right side
    1,648,744,764x = 12,643,447,411,543,855,104
  5. Step 5: Solve for x
    x = 12,643,447,411,543,855,104/1,648,744,764
  6. Step 6: Final answer
    x = 7,668,529,227.57

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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.