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Finding the Third Proportional to 32,338,043,552 and 70,370,415,916

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Solution

The third proportional to 32,338,043,552 and 70,370,415,916 is: 153,132,190,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338,043,552 : 70,370,415,916 = 70,370,415,916 : x
  2. Step 2: Convert to fraction form
    32,338,043,552/70,370,415,916 = 70,370,415,916/x
  3. Step 3: Cross multiply
    32,338,043,552x = 70,370,415,916 × 70,370,415,916
  4. Step 4: Simplify right side
    32,338,043,552x = 4,951,995,436,190,826,233,856
  5. Step 5: Solve for x
    x = 4,951,995,436,190,826,233,856/32,338,043,552
  6. Step 6: Final answer
    x = 153,132,190,208.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.