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Finding the Third Proportional to 369,290,961 and 799,863,633

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Solution

The third proportional to 369,290,961 and 799,863,633 is: 1,732,460,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,290,961 : 799,863,633 = 799,863,633 : x
  2. Step 2: Convert to fraction form
    369,290,961/799,863,633 = 799,863,633/x
  3. Step 3: Cross multiply
    369,290,961x = 799,863,633 × 799,863,633
  4. Step 4: Simplify right side
    369,290,961x = 639,781,831,395,958,656
  5. Step 5: Solve for x
    x = 639,781,831,395,958,656/369,290,961
  6. Step 6: Final answer
    x = 1,732,460,035.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.