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Finding the Third Proportional to 39,318,664,239 and 86,651,724,478

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Solution

The third proportional to 39,318,664,239 and 86,651,724,478 is: 190,965,830,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318,664,239 : 86,651,724,478 = 86,651,724,478 : x
  2. Step 2: Convert to fraction form
    39,318,664,239/86,651,724,478 = 86,651,724,478/x
  3. Step 3: Cross multiply
    39,318,664,239x = 86,651,724,478 × 86,651,724,478
  4. Step 4: Simplify right side
    39,318,664,239x = 7,508,521,355,011,223,977,984
  5. Step 5: Solve for x
    x = 7,508,521,355,011,223,977,984/39,318,664,239
  6. Step 6: Final answer
    x = 190,965,830,104.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.