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Finding the Third Proportional to 29,699,507 and 47,258,225

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Solution

The third proportional to 29,699,507 and 47,258,225 is: 75,197,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699,507 : 47,258,225 = 47,258,225 : x
  2. Step 2: Convert to fraction form
    29,699,507/47,258,225 = 47,258,225/x
  3. Step 3: Cross multiply
    29,699,507x = 47,258,225 × 47,258,225
  4. Step 4: Simplify right side
    29,699,507x = 2,233,339,830,150,625
  5. Step 5: Solve for x
    x = 2,233,339,830,150,625/29,699,507
  6. Step 6: Final answer
    x = 75,197,875.51

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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.