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Finding the Third Proportional to 46,599,898,352 and 102,698,340,112

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Solution

The third proportional to 46,599,898,352 and 102,698,340,112 is: 226,329,872,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,599,898,352 : 102,698,340,112 = 102,698,340,112 : x
  2. Step 2: Convert to fraction form
    46,599,898,352/102,698,340,112 = 102,698,340,112/x
  3. Step 3: Cross multiply
    46,599,898,352x = 102,698,340,112 × 102,698,340,112
  4. Step 4: Simplify right side
    46,599,898,352x = 10,546,949,061,760,027,459,584
  5. Step 5: Solve for x
    x = 10,546,949,061,760,027,459,584/46,599,898,352
  6. Step 6: Final answer
    x = 226,329,872,698.26

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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.