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Finding the Third Proportional to 10,439,700 and 22,132,768

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Solution

The third proportional to 10,439,700 and 22,132,768 is: 46,922,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439,700 : 22,132,768 = 22,132,768 : x
  2. Step 2: Convert to fraction form
    10,439,700/22,132,768 = 22,132,768/x
  3. Step 3: Cross multiply
    10,439,700x = 22,132,768 × 22,132,768
  4. Step 4: Simplify right side
    10,439,700x = 489,859,419,341,824
  5. Step 5: Solve for x
    x = 489,859,419,341,824/10,439,700
  6. Step 6: Final answer
    x = 46,922,748.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.