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Finding the Third Proportional to 39,359,506 and 85,409,356

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Solution

The third proportional to 39,359,506 and 85,409,356 is: 185,336,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,359,506 : 85,409,356 = 85,409,356 : x
  2. Step 2: Convert to fraction form
    39,359,506/85,409,356 = 85,409,356/x
  3. Step 3: Cross multiply
    39,359,506x = 85,409,356 × 85,409,356
  4. Step 4: Simplify right side
    39,359,506x = 7,294,758,092,334,736
  5. Step 5: Solve for x
    x = 7,294,758,092,334,736/39,359,506
  6. Step 6: Final answer
    x = 185,336,627.25

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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.