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Finding the Third Proportional to 1,648,744,970 and 3,555,762,938

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Solution

The third proportional to 1,648,744,970 and 3,555,762,938 is: 7,668,529,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,744,970 : 3,555,762,938 = 3,555,762,938 : x
  2. Step 2: Convert to fraction form
    1,648,744,970/3,555,762,938 = 3,555,762,938/x
  3. Step 3: Cross multiply
    1,648,744,970x = 3,555,762,938 × 3,555,762,938
  4. Step 4: Simplify right side
    1,648,744,970x = 12,643,450,071,254,392,832
  5. Step 5: Solve for x
    x = 12,643,450,071,254,392,832/1,648,744,970
  6. Step 6: Final answer
    x = 7,668,529,882.61

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