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Finding the Third Proportional to 9,577,657 and 21,281,077

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Solution

The third proportional to 9,577,657 and 21,281,077 is: 47,285,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,657 : 21,281,077 = 21,281,077 : x
  2. Step 2: Convert to fraction form
    9,577,657/21,281,077 = 21,281,077/x
  3. Step 3: Cross multiply
    9,577,657x = 21,281,077 × 21,281,077
  4. Step 4: Simplify right side
    9,577,657x = 452,884,238,279,929
  5. Step 5: Solve for x
    x = 452,884,238,279,929/9,577,657
  6. Step 6: Final answer
    x = 47,285,493.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.