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Finding the Third Proportional to 41,806,848 and 90,020,511

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Solution

The third proportional to 41,806,848 and 90,020,511 is: 193,836,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,806,848 : 90,020,511 = 90,020,511 : x
  2. Step 2: Convert to fraction form
    41,806,848/90,020,511 = 90,020,511/x
  3. Step 3: Cross multiply
    41,806,848x = 90,020,511 × 90,020,511
  4. Step 4: Simplify right side
    41,806,848x = 8,103,692,400,701,121
  5. Step 5: Solve for x
    x = 8,103,692,400,701,121/41,806,848
  6. Step 6: Final answer
    x = 193,836,483.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.