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Finding the Third Proportional to 10,289,712 and 22,350,240

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Solution

The third proportional to 10,289,712 and 22,350,240 is: 48,546,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289,712 : 22,350,240 = 22,350,240 : x
  2. Step 2: Convert to fraction form
    10,289,712/22,350,240 = 22,350,240/x
  3. Step 3: Cross multiply
    10,289,712x = 22,350,240 × 22,350,240
  4. Step 4: Simplify right side
    10,289,712x = 499,533,228,057,600
  5. Step 5: Solve for x
    x = 499,533,228,057,600/10,289,712
  6. Step 6: Final answer
    x = 48,546,861.96

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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.