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Finding the Third Proportional to 1,648,744,735 and 3,555,762,502

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Solution

The third proportional to 1,648,744,735 and 3,555,762,502 is: 7,668,529,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,744,735 : 3,555,762,502 = 3,555,762,502 : x
  2. Step 2: Convert to fraction form
    1,648,744,735/3,555,762,502 = 3,555,762,502/x
  3. Step 3: Cross multiply
    1,648,744,735x = 3,555,762,502 × 3,555,762,502
  4. Step 4: Simplify right side
    1,648,744,735x = 12,643,446,970,629,300,224
  5. Step 5: Solve for x
    x = 12,643,446,970,629,300,224/1,648,744,735
  6. Step 6: Final answer
    x = 7,668,529,095.03

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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.