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Finding the Third Proportional to 45,402,016 and 99,634,112

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Solution

The third proportional to 45,402,016 and 99,634,112 is: 218,645,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402,016 : 99,634,112 = 99,634,112 : x
  2. Step 2: Convert to fraction form
    45,402,016/99,634,112 = 99,634,112/x
  3. Step 3: Cross multiply
    45,402,016x = 99,634,112 × 99,634,112
  4. Step 4: Simplify right side
    45,402,016x = 9,926,956,274,028,544
  5. Step 5: Solve for x
    x = 9,926,956,274,028,544/45,402,016
  6. Step 6: Final answer
    x = 218,645,715.51

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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.