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Finding the Third Proportional to 10,013,526 and 21,444,214

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Solution

The third proportional to 10,013,526 and 21,444,214 is: 45,923,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,526 : 21,444,214 = 21,444,214 : x
  2. Step 2: Convert to fraction form
    10,013,526/21,444,214 = 21,444,214/x
  3. Step 3: Cross multiply
    10,013,526x = 21,444,214 × 21,444,214
  4. Step 4: Simplify right side
    10,013,526x = 459,854,314,077,796
  5. Step 5: Solve for x
    x = 459,854,314,077,796/10,013,526
  6. Step 6: Final answer
    x = 45,923,315.53

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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.