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Finding the Third Proportional to 10,596,642 and 23,591,532

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Solution

The third proportional to 10,596,642 and 23,591,532 is: 52,522,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,642 : 23,591,532 = 23,591,532 : x
  2. Step 2: Convert to fraction form
    10,596,642/23,591,532 = 23,591,532/x
  3. Step 3: Cross multiply
    10,596,642x = 23,591,532 × 23,591,532
  4. Step 4: Simplify right side
    10,596,642x = 556,560,382,107,024
  5. Step 5: Solve for x
    x = 556,560,382,107,024/10,596,642
  6. Step 6: Final answer
    x = 52,522,335.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.