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Finding the Third Proportional to 1,732,515,264 and 3,741,163,416

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Solution

The third proportional to 1,732,515,264 and 3,741,163,416 is: 8,078,603,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,515,264 : 3,741,163,416 = 3,741,163,416 : x
  2. Step 2: Convert to fraction form
    1,732,515,264/3,741,163,416 = 3,741,163,416/x
  3. Step 3: Cross multiply
    1,732,515,264x = 3,741,163,416 × 3,741,163,416
  4. Step 4: Simplify right side
    1,732,515,264x = 13,996,303,705,216,788,480
  5. Step 5: Solve for x
    x = 13,996,303,705,216,788,480/1,732,515,264
  6. Step 6: Final answer
    x = 8,078,603,401.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.