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Finding the Third Proportional to 10,232,338 and 21,882,532

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Solution

The third proportional to 10,232,338 and 21,882,532 is: 46,797,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,338 : 21,882,532 = 21,882,532 : x
  2. Step 2: Convert to fraction form
    10,232,338/21,882,532 = 21,882,532/x
  3. Step 3: Cross multiply
    10,232,338x = 21,882,532 × 21,882,532
  4. Step 4: Simplify right side
    10,232,338x = 478,845,206,731,024
  5. Step 5: Solve for x
    x = 478,845,206,731,024/10,232,338
  6. Step 6: Final answer
    x = 46,797,242.89

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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.