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Finding the Third Proportional to 21,224,064 and 45,476,400

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Solution

The third proportional to 21,224,064 and 45,476,400 is: 97,441,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224,064 : 45,476,400 = 45,476,400 : x
  2. Step 2: Convert to fraction form
    21,224,064/45,476,400 = 45,476,400/x
  3. Step 3: Cross multiply
    21,224,064x = 45,476,400 × 45,476,400
  4. Step 4: Simplify right side
    21,224,064x = 2,068,102,956,960,000
  5. Step 5: Solve for x
    x = 2,068,102,956,960,000/21,224,064
  6. Step 6: Final answer
    x = 97,441,421.07

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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.