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Finding the Third Proportional to 39,570,735 and 85,909,505

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Solution

The third proportional to 39,570,735 and 85,909,505 is: 186,512,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,570,735 : 85,909,505 = 85,909,505 : x
  2. Step 2: Convert to fraction form
    39,570,735/85,909,505 = 85,909,505/x
  3. Step 3: Cross multiply
    39,570,735x = 85,909,505 × 85,909,505
  4. Step 4: Simplify right side
    39,570,735x = 7,380,443,049,345,025
  5. Step 5: Solve for x
    x = 7,380,443,049,345,025/39,570,735
  6. Step 6: Final answer
    x = 186,512,660.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.