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Finding the Third Proportional to 9,511,076 and 20,573,464

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Solution

The third proportional to 9,511,076 and 20,573,464 is: 44,502,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511,076 : 20,573,464 = 20,573,464 : x
  2. Step 2: Convert to fraction form
    9,511,076/20,573,464 = 20,573,464/x
  3. Step 3: Cross multiply
    9,511,076x = 20,573,464 × 20,573,464
  4. Step 4: Simplify right side
    9,511,076x = 423,267,420,959,296
  5. Step 5: Solve for x
    x = 423,267,420,959,296/9,511,076
  6. Step 6: Final answer
    x = 44,502,580.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.