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Finding the Third Proportional to 3,748,825,825 and 7,807,939,755

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Solution

The third proportional to 3,748,825,825 and 7,807,939,755 is: 16,262,138,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748,825,825 : 7,807,939,755 = 7,807,939,755 : x
  2. Step 2: Convert to fraction form
    3,748,825,825/7,807,939,755 = 7,807,939,755/x
  3. Step 3: Cross multiply
    3,748,825,825x = 7,807,939,755 × 7,807,939,755
  4. Step 4: Simplify right side
    3,748,825,825x = 60,963,923,217,709,457,408
  5. Step 5: Solve for x
    x = 60,963,923,217,709,457,408/3,748,825,825
  6. Step 6: Final answer
    x = 16,262,138,083.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.