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Finding the Third Proportional to 39,570,741 and 85,909,518

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Solution

The third proportional to 39,570,741 and 85,909,518 is: 186,512,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,570,741 : 85,909,518 = 85,909,518 : x
  2. Step 2: Convert to fraction form
    39,570,741/85,909,518 = 85,909,518/x
  3. Step 3: Cross multiply
    39,570,741x = 85,909,518 × 85,909,518
  4. Step 4: Simplify right side
    39,570,741x = 7,380,445,282,992,324
  5. Step 5: Solve for x
    x = 7,380,445,282,992,324/39,570,741
  6. Step 6: Final answer
    x = 186,512,688.33

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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.