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Finding the Third Proportional to 10,909,262 and 23,733,895

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Solution

The third proportional to 10,909,262 and 23,733,895 is: 51,634,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909,262 : 23,733,895 = 23,733,895 : x
  2. Step 2: Convert to fraction form
    10,909,262/23,733,895 = 23,733,895/x
  3. Step 3: Cross multiply
    10,909,262x = 23,733,895 × 23,733,895
  4. Step 4: Simplify right side
    10,909,262x = 563,297,771,871,025
  5. Step 5: Solve for x
    x = 563,297,771,871,025/10,909,262
  6. Step 6: Final answer
    x = 51,634,819.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.