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Finding the Third Proportional to 9,577,655 and 21,281,073

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Solution

The third proportional to 9,577,655 and 21,281,073 is: 47,285,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,655 : 21,281,073 = 21,281,073 : x
  2. Step 2: Convert to fraction form
    9,577,655/21,281,073 = 21,281,073/x
  3. Step 3: Cross multiply
    9,577,655x = 21,281,073 × 21,281,073
  4. Step 4: Simplify right side
    9,577,655x = 452,884,068,031,329
  5. Step 5: Solve for x
    x = 452,884,068,031,329/9,577,655
  6. Step 6: Final answer
    x = 47,285,485.65

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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.