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Finding the Third Proportional to 10,021,039 and 21,459,254

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Solution

The third proportional to 10,021,039 and 21,459,254 is: 45,953,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021,039 : 21,459,254 = 21,459,254 : x
  2. Step 2: Convert to fraction form
    10,021,039/21,459,254 = 21,459,254/x
  3. Step 3: Cross multiply
    10,021,039x = 21,459,254 × 21,459,254
  4. Step 4: Simplify right side
    10,021,039x = 460,499,582,236,516
  5. Step 5: Solve for x
    x = 460,499,582,236,516/10,021,039
  6. Step 6: Final answer
    x = 45,953,277.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.