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Finding the Third Proportional to 10,082,761 and 15,497,929.50

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Solution

The third proportional to 10,082,761 and 15,497,929.50 is: 23,821,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,761 : 15,497,929.50 = 15,497,929.50 : x
  2. Step 2: Convert to fraction form
    10,082,761/15,497,929.50 = 15,497,929.50/x
  3. Step 3: Cross multiply
    10,082,761x = 15,497,929.50 × 15,497,929.50
  4. Step 4: Simplify right side
    10,082,761x = 240,185,818,786,970.25
  5. Step 5: Solve for x
    x = 240,185,818,786,970.25/10,082,761
  6. Step 6: Final answer
    x = 23,821,433.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.