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Finding the Third Proportional to 47,751,417 and 102,316,068

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Solution

The third proportional to 47,751,417 and 102,316,068 is: 219,230,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,417 : 102,316,068 = 102,316,068 : x
  2. Step 2: Convert to fraction form
    47,751,417/102,316,068 = 102,316,068/x
  3. Step 3: Cross multiply
    47,751,417x = 102,316,068 × 102,316,068
  4. Step 4: Simplify right side
    47,751,417x = 10,468,577,770,980,624
  5. Step 5: Solve for x
    x = 10,468,577,770,980,624/47,751,417
  6. Step 6: Final answer
    x = 219,230,725.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.