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Finding the Third Proportional to 29,699,568 and 47,258,316

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Solution

The third proportional to 29,699,568 and 47,258,316 is: 75,198,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699,568 : 47,258,316 = 47,258,316 : x
  2. Step 2: Convert to fraction form
    29,699,568/47,258,316 = 47,258,316/x
  3. Step 3: Cross multiply
    29,699,568x = 47,258,316 × 47,258,316
  4. Step 4: Simplify right side
    29,699,568x = 2,233,348,431,155,856
  5. Step 5: Solve for x
    x = 2,233,348,431,155,856/29,699,568
  6. Step 6: Final answer
    x = 75,198,010.66

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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.