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Finding the Third Proportional to 23,120,788.50 and 48,154,348.50

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Solution

The third proportional to 23,120,788.50 and 48,154,348.50 is: 100,292,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120,788.50 : 48,154,348.50 = 48,154,348.50 : x
  2. Step 2: Convert to fraction form
    23,120,788.50/48,154,348.50 = 48,154,348.50/x
  3. Step 3: Cross multiply
    23,120,788.50x = 48,154,348.50 × 48,154,348.50
  4. Step 4: Simplify right side
    23,120,788.50x = 2,318,841,279,459,452
  5. Step 5: Solve for x
    x = 2,318,841,279,459,452/23,120,788.50
  6. Step 6: Final answer
    x = 100,292,482.65

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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.