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Finding the Third Proportional to 9,583,284 and 20,783,490

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Solution

The third proportional to 9,583,284 and 20,783,490 is: 45,073,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583,284 : 20,783,490 = 20,783,490 : x
  2. Step 2: Convert to fraction form
    9,583,284/20,783,490 = 20,783,490/x
  3. Step 3: Cross multiply
    9,583,284x = 20,783,490 × 20,783,490
  4. Step 4: Simplify right side
    9,583,284x = 431,953,456,580,100
  5. Step 5: Solve for x
    x = 431,953,456,580,100/9,583,284
  6. Step 6: Final answer
    x = 45,073,636.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.