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Finding the Third Proportional to 58,742,928 and 82,576,908

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Solution

The third proportional to 58,742,928 and 82,576,908 is: 116,081,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,742,928 : 82,576,908 = 82,576,908 : x
  2. Step 2: Convert to fraction form
    58,742,928/82,576,908 = 82,576,908/x
  3. Step 3: Cross multiply
    58,742,928x = 82,576,908 × 82,576,908
  4. Step 4: Simplify right side
    58,742,928x = 6,818,945,734,840,464
  5. Step 5: Solve for x
    x = 6,818,945,734,840,464/58,742,928
  6. Step 6: Final answer
    x = 116,081,134.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.