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Finding the Third Proportional to 1,642,550,739 and 3,652,341,546

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Solution

The third proportional to 1,642,550,739 and 3,652,341,546 is: 8,121,270,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,550,739 : 3,652,341,546 = 3,652,341,546 : x
  2. Step 2: Convert to fraction form
    1,642,550,739/3,652,341,546 = 3,652,341,546/x
  3. Step 3: Cross multiply
    1,642,550,739x = 3,652,341,546 × 3,652,341,546
  4. Step 4: Simplify right side
    1,642,550,739x = 13,339,598,768,637,669,376
  5. Step 5: Solve for x
    x = 13,339,598,768,637,669,376/1,642,550,739
  6. Step 6: Final answer
    x = 8,121,270,443.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.