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Finding the Third Proportional to 57,790,947 and 84,770,581

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Solution

The third proportional to 57,790,947 and 84,770,581 is: 124,345,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,790,947 : 84,770,581 = 84,770,581 : x
  2. Step 2: Convert to fraction form
    57,790,947/84,770,581 = 84,770,581/x
  3. Step 3: Cross multiply
    57,790,947x = 84,770,581 × 84,770,581
  4. Step 4: Simplify right side
    57,790,947x = 7,186,051,403,077,561
  5. Step 5: Solve for x
    x = 7,186,051,403,077,561/57,790,947
  6. Step 6: Final answer
    x = 124,345,624.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.