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Finding the Third Proportional to 45,996,762 and 101,326,524

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Solution

The third proportional to 45,996,762 and 101,326,524 is: 223,212,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,996,762 : 101,326,524 = 101,326,524 : x
  2. Step 2: Convert to fraction form
    45,996,762/101,326,524 = 101,326,524/x
  3. Step 3: Cross multiply
    45,996,762x = 101,326,524 × 101,326,524
  4. Step 4: Simplify right side
    45,996,762x = 10,267,064,465,922,576
  5. Step 5: Solve for x
    x = 10,267,064,465,922,576/45,996,762
  6. Step 6: Final answer
    x = 223,212,765.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.