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Finding the Third Proportional to 48,607,614 and 114,742,923

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Solution

The third proportional to 48,607,614 and 114,742,923 is: 270,861,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,607,614 : 114,742,923 = 114,742,923 : x
  2. Step 2: Convert to fraction form
    48,607,614/114,742,923 = 114,742,923/x
  3. Step 3: Cross multiply
    48,607,614x = 114,742,923 × 114,742,923
  4. Step 4: Simplify right side
    48,607,614x = 13,165,938,378,583,928
  5. Step 5: Solve for x
    x = 13,165,938,378,583,928/48,607,614
  6. Step 6: Final answer
    x = 270,861,646.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.