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Finding the Third Proportional to 39,709,772,284 and 85,084,664,955.50

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Solution

The third proportional to 39,709,772,284 and 85,084,664,955.50 is: 182,307,774,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,709,772,284 : 85,084,664,955.50 = 85,084,664,955.50 : x
  2. Step 2: Convert to fraction form
    39,709,772,284/85,084,664,955.50 = 85,084,664,955.50/x
  3. Step 3: Cross multiply
    39,709,772,284x = 85,084,664,955.50 × 85,084,664,955.50
  4. Step 4: Simplify right side
    39,709,772,284x = 7,239,400,210,589,690,101,760
  5. Step 5: Solve for x
    x = 7,239,400,210,589,690,101,760/39,709,772,284
  6. Step 6: Final answer
    x = 182,307,774,489.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.