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Finding the Third Proportional to 10,448,292 and 16,145,280

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Solution

The third proportional to 10,448,292 and 16,145,280 is: 24,948,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,292 : 16,145,280 = 16,145,280 : x
  2. Step 2: Convert to fraction form
    10,448,292/16,145,280 = 16,145,280/x
  3. Step 3: Cross multiply
    10,448,292x = 16,145,280 × 16,145,280
  4. Step 4: Simplify right side
    10,448,292x = 260,670,066,278,400
  5. Step 5: Solve for x
    x = 260,670,066,278,400/10,448,292
  6. Step 6: Final answer
    x = 24,948,581.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.