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Finding the Third Proportional to 2,037,648,211 and 4,402,462,126

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Solution

The third proportional to 2,037,648,211 and 4,402,462,126 is: 9,511,785,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,648,211 : 4,402,462,126 = 4,402,462,126 : x
  2. Step 2: Convert to fraction form
    2,037,648,211/4,402,462,126 = 4,402,462,126/x
  3. Step 3: Cross multiply
    2,037,648,211x = 4,402,462,126 × 4,402,462,126
  4. Step 4: Simplify right side
    2,037,648,211x = 19,381,672,770,864,439,296
  5. Step 5: Solve for x
    x = 19,381,672,770,864,439,296/2,037,648,211
  6. Step 6: Final answer
    x = 9,511,785,531.10

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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.