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Finding the Third Proportional to 1,754,619,480 and 3,853,632,492

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Solution

The third proportional to 1,754,619,480 and 3,853,632,492 is: 8,463,648,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,619,480 : 3,853,632,492 = 3,853,632,492 : x
  2. Step 2: Convert to fraction form
    1,754,619,480/3,853,632,492 = 3,853,632,492/x
  3. Step 3: Cross multiply
    1,754,619,480x = 3,853,632,492 × 3,853,632,492
  4. Step 4: Simplify right side
    1,754,619,480x = 14,850,483,383,398,129,664
  5. Step 5: Solve for x
    x = 14,850,483,383,398,129,664/1,754,619,480
  6. Step 6: Final answer
    x = 8,463,648,986.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.