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Finding the Third Proportional to 47,855,275,896 and 104,716,652,856

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Solution

The third proportional to 47,855,275,896 and 104,716,652,856 is: 229,140,406,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855,275,896 : 104,716,652,856 = 104,716,652,856 : x
  2. Step 2: Convert to fraction form
    47,855,275,896/104,716,652,856 = 104,716,652,856/x
  3. Step 3: Cross multiply
    47,855,275,896x = 104,716,652,856 × 104,716,652,856
  4. Step 4: Simplify right side
    47,855,275,896x = 10,965,577,385,364,013,711,360
  5. Step 5: Solve for x
    x = 10,965,577,385,364,013,711,360/47,855,275,896
  6. Step 6: Final answer
    x = 229,140,406,779.70

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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.