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Finding the Third Proportional to 30,936,972.94 and 68,051,666.53

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Solution

The third proportional to 30,936,972.94 and 68,051,666.53 is: 149,692,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936,972.94 : 68,051,666.53 = 68,051,666.53 : x
  2. Step 2: Convert to fraction form
    30,936,972.94/68,051,666.53 = 68,051,666.53/x
  3. Step 3: Cross multiply
    30,936,972.94x = 68,051,666.53 × 68,051,666.53
  4. Step 4: Simplify right side
    30,936,972.94x = 4,631,029,317,680,451
  5. Step 5: Solve for x
    x = 4,631,029,317,680,451/30,936,972.94
  6. Step 6: Final answer
    x = 149,692,386.75

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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.