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Finding the Third Proportional to 1,398,580,902,203 and 3,043,434,575,202

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Solution

The third proportional to 1,398,580,902,203 and 3,043,434,575,202 is: 6,622,780,276,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,580,902,203 : 3,043,434,575,202 = 3,043,434,575,202 : x
  2. Step 2: Convert to fraction form
    1,398,580,902,203/3,043,434,575,202 = 3,043,434,575,202/x
  3. Step 3: Cross multiply
    1,398,580,902,203x = 3,043,434,575,202 × 3,043,434,575,202
  4. Step 4: Simplify right side
    1,398,580,902,203x = 9,262,494,013,534,978,411,855,872
  5. Step 5: Solve for x
    x = 9,262,494,013,534,978,411,855,872/1,398,580,902,203
  6. Step 6: Final answer
    x = 6,622,780,276,024.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.