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Finding the Third Proportional to 9,829,970 and 21,549,512

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Solution

The third proportional to 9,829,970 and 21,549,512 is: 47,241,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,970 : 21,549,512 = 21,549,512 : x
  2. Step 2: Convert to fraction form
    9,829,970/21,549,512 = 21,549,512/x
  3. Step 3: Cross multiply
    9,829,970x = 21,549,512 × 21,549,512
  4. Step 4: Simplify right side
    9,829,970x = 464,381,467,438,144
  5. Step 5: Solve for x
    x = 464,381,467,438,144/9,829,970
  6. Step 6: Final answer
    x = 47,241,392.13

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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.