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Finding the Third Proportional to 57,827,484 and 125,732,664

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Solution

The third proportional to 57,827,484 and 125,732,664 is: 273,376,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,827,484 : 125,732,664 = 125,732,664 : x
  2. Step 2: Convert to fraction form
    57,827,484/125,732,664 = 125,732,664/x
  3. Step 3: Cross multiply
    57,827,484x = 125,732,664 × 125,732,664
  4. Step 4: Simplify right side
    57,827,484x = 15,808,702,796,536,896
  5. Step 5: Solve for x
    x = 15,808,702,796,536,896/57,827,484
  6. Step 6: Final answer
    x = 273,376,977.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.