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Finding the Third Proportional to 29,699,546 and 47,258,307

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Solution

The third proportional to 29,699,546 and 47,258,307 is: 75,198,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699,546 : 47,258,307 = 47,258,307 : x
  2. Step 2: Convert to fraction form
    29,699,546/47,258,307 = 47,258,307/x
  3. Step 3: Cross multiply
    29,699,546x = 47,258,307 × 47,258,307
  4. Step 4: Simplify right side
    29,699,546x = 2,233,347,580,506,249
  5. Step 5: Solve for x
    x = 2,233,347,580,506,249/29,699,546
  6. Step 6: Final answer
    x = 75,198,037.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.