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Finding the Third Proportional to 4,221,414 and 9,955,264.50

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Solution

The third proportional to 4,221,414 and 9,955,264.50 is: 23,477,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221,414 : 9,955,264.50 = 9,955,264.50 : x
  2. Step 2: Convert to fraction form
    4,221,414/9,955,264.50 = 9,955,264.50/x
  3. Step 3: Cross multiply
    4,221,414x = 9,955,264.50 × 9,955,264.50
  4. Step 4: Simplify right side
    4,221,414x = 99,107,291,264,960.25
  5. Step 5: Solve for x
    x = 99,107,291,264,960.25/4,221,414
  6. Step 6: Final answer
    x = 23,477,273.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.