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Finding the Third Proportional to 12,475,430,214 and 29,420,267,887

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Solution

The third proportional to 12,475,430,214 and 29,420,267,887 is: 69,380,546,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475,430,214 : 29,420,267,887 = 29,420,267,887 : x
  2. Step 2: Convert to fraction form
    12,475,430,214/29,420,267,887 = 29,420,267,887/x
  3. Step 3: Cross multiply
    12,475,430,214x = 29,420,267,887 × 29,420,267,887
  4. Step 4: Simplify right side
    12,475,430,214x = 865,552,162,542,843,461,632
  5. Step 5: Solve for x
    x = 865,552,162,542,843,461,632/12,475,430,214
  6. Step 6: Final answer
    x = 69,380,546,217.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.