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Finding the Third Proportional to 15,821,306 and 23,774,084

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Solution

The third proportional to 15,821,306 and 23,774,084 is: 35,724,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821,306 : 23,774,084 = 23,774,084 : x
  2. Step 2: Convert to fraction form
    15,821,306/23,774,084 = 23,774,084/x
  3. Step 3: Cross multiply
    15,821,306x = 23,774,084 × 23,774,084
  4. Step 4: Simplify right side
    15,821,306x = 565,207,070,039,056
  5. Step 5: Solve for x
    x = 565,207,070,039,056/15,821,306
  6. Step 6: Final answer
    x = 35,724,425.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.