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Finding the Third Proportional to 21,384,642 and 30,897,123

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Solution

The third proportional to 21,384,642 and 30,897,123 is: 44,641,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384,642 : 30,897,123 = 30,897,123 : x
  2. Step 2: Convert to fraction form
    21,384,642/30,897,123 = 30,897,123/x
  3. Step 3: Cross multiply
    21,384,642x = 30,897,123 × 30,897,123
  4. Step 4: Simplify right side
    21,384,642x = 954,632,209,677,129
  5. Step 5: Solve for x
    x = 954,632,209,677,129/21,384,642
  6. Step 6: Final answer
    x = 44,641,018.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.