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Finding the Third Proportional to 13,458,094.50 and 29,607,657

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Solution

The third proportional to 13,458,094.50 and 29,607,657 is: 65,136,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458,094.50 : 29,607,657 = 29,607,657 : x
  2. Step 2: Convert to fraction form
    13,458,094.50/29,607,657 = 29,607,657/x
  3. Step 3: Cross multiply
    13,458,094.50x = 29,607,657 × 29,607,657
  4. Step 4: Simplify right side
    13,458,094.50x = 876,613,353,029,649
  5. Step 5: Solve for x
    x = 876,613,353,029,649/13,458,094.50
  6. Step 6: Final answer
    x = 65,136,513.42

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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.