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Finding the Third Proportional to 1,282,459,108 and 2,801,035,444

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Solution

The third proportional to 1,282,459,108 and 2,801,035,444 is: 6,117,777,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,459,108 : 2,801,035,444 = 2,801,035,444 : x
  2. Step 2: Convert to fraction form
    1,282,459,108/2,801,035,444 = 2,801,035,444/x
  3. Step 3: Cross multiply
    1,282,459,108x = 2,801,035,444 × 2,801,035,444
  4. Step 4: Simplify right side
    1,282,459,108x = 7,845,799,558,544,277,504
  5. Step 5: Solve for x
    x = 7,845,799,558,544,277,504/1,282,459,108
  6. Step 6: Final answer
    x = 6,117,777,564.68

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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.