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Finding the Third Proportional to 1,756,251,408 and 3,818,601,168

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Solution

The third proportional to 1,756,251,408 and 3,818,601,168 is: 8,302,749,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,251,408 : 3,818,601,168 = 3,818,601,168 : x
  2. Step 2: Convert to fraction form
    1,756,251,408/3,818,601,168 = 3,818,601,168/x
  3. Step 3: Cross multiply
    1,756,251,408x = 3,818,601,168 × 3,818,601,168
  4. Step 4: Simplify right side
    1,756,251,408x = 14,581,714,880,250,963,968
  5. Step 5: Solve for x
    x = 14,581,714,880,250,963,968/1,756,251,408
  6. Step 6: Final answer
    x = 8,302,749,147.32

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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.