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Finding the Third Proportional to 57,870,819 and 123,700,491

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Solution

The third proportional to 57,870,819 and 123,700,491 is: 264,413,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,870,819 : 123,700,491 = 123,700,491 : x
  2. Step 2: Convert to fraction form
    57,870,819/123,700,491 = 123,700,491/x
  3. Step 3: Cross multiply
    57,870,819x = 123,700,491 × 123,700,491
  4. Step 4: Simplify right side
    57,870,819x = 15,301,811,473,641,080
  5. Step 5: Solve for x
    x = 15,301,811,473,641,080/57,870,819
  6. Step 6: Final answer
    x = 264,413,252.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.