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Finding the Third Proportional to 39,909,365 and 85,784,527.50

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Solution

The third proportional to 39,909,365 and 85,784,527.50 is: 184,392,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,909,365 : 85,784,527.50 = 85,784,527.50 : x
  2. Step 2: Convert to fraction form
    39,909,365/85,784,527.50 = 85,784,527.50/x
  3. Step 3: Cross multiply
    39,909,365x = 85,784,527.50 × 85,784,527.50
  4. Step 4: Simplify right side
    39,909,365x = 7,358,985,158,398,256
  5. Step 5: Solve for x
    x = 7,358,985,158,398,256/39,909,365
  6. Step 6: Final answer
    x = 184,392,439.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.