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Finding the Third Proportional to 49,209,261.75 and 75,742,857

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Solution

The third proportional to 49,209,261.75 and 75,742,857 is: 116,583,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209,261.75 : 75,742,857 = 75,742,857 : x
  2. Step 2: Convert to fraction form
    49,209,261.75/75,742,857 = 75,742,857/x
  3. Step 3: Cross multiply
    49,209,261.75x = 75,742,857 × 75,742,857
  4. Step 4: Simplify right side
    49,209,261.75x = 5,736,980,386,522,449
  5. Step 5: Solve for x
    x = 5,736,980,386,522,449/49,209,261.75
  6. Step 6: Final answer
    x = 116,583,345.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.