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Finding the Third Proportional to 9,829,966 and 21,549,504

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Solution

The third proportional to 9,829,966 and 21,549,504 is: 47,241,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,966 : 21,549,504 = 21,549,504 : x
  2. Step 2: Convert to fraction form
    9,829,966/21,549,504 = 21,549,504/x
  3. Step 3: Cross multiply
    9,829,966x = 21,549,504 × 21,549,504
  4. Step 4: Simplify right side
    9,829,966x = 464,381,122,646,016
  5. Step 5: Solve for x
    x = 464,381,122,646,016/9,829,966
  6. Step 6: Final answer
    x = 47,241,376.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.