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Finding the Third Proportional to 1,772,417,720 and 3,878,394,728

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Solution

The third proportional to 1,772,417,720 and 3,878,394,728 is: 8,486,682,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,417,720 : 3,878,394,728 = 3,878,394,728 : x
  2. Step 2: Convert to fraction form
    1,772,417,720/3,878,394,728 = 3,878,394,728/x
  3. Step 3: Cross multiply
    1,772,417,720x = 3,878,394,728 × 3,878,394,728
  4. Step 4: Simplify right side
    1,772,417,720x = 15,041,945,666,178,193,408
  5. Step 5: Solve for x
    x = 15,041,945,666,178,193,408/1,772,417,720
  6. Step 6: Final answer
    x = 8,486,682,059.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.