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Finding the Third Proportional to 41,742,455.63 and 64,998,834.75

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Solution

The third proportional to 41,742,455.63 and 64,998,834.75 is: 101,212,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742,455.63 : 64,998,834.75 = 64,998,834.75 : x
  2. Step 2: Convert to fraction form
    41,742,455.63/64,998,834.75 = 64,998,834.75/x
  3. Step 3: Cross multiply
    41,742,455.63x = 64,998,834.75 × 64,998,834.75
  4. Step 4: Simplify right side
    41,742,455.63x = 4,224,848,518,857,807.50
  5. Step 5: Solve for x
    x = 4,224,848,518,857,807.50/41,742,455.63
  6. Step 6: Final answer
    x = 101,212,265.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.