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Finding the Third Proportional to 19,580,828 and 42,415,966

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Solution

The third proportional to 19,580,828 and 42,415,966 is: 91,881,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580,828 : 42,415,966 = 42,415,966 : x
  2. Step 2: Convert to fraction form
    19,580,828/42,415,966 = 42,415,966/x
  3. Step 3: Cross multiply
    19,580,828x = 42,415,966 × 42,415,966
  4. Step 4: Simplify right side
    19,580,828x = 1,799,114,171,713,156
  5. Step 5: Solve for x
    x = 1,799,114,171,713,156/19,580,828
  6. Step 6: Final answer
    x = 91,881,414.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.