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Finding the Third Proportional to 31,787,770.50 and 68,655,577.50

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Solution

The third proportional to 31,787,770.50 and 68,655,577.50 is: 148,283,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787,770.50 : 68,655,577.50 = 68,655,577.50 : x
  2. Step 2: Convert to fraction form
    31,787,770.50/68,655,577.50 = 68,655,577.50/x
  3. Step 3: Cross multiply
    31,787,770.50x = 68,655,577.50 × 68,655,577.50
  4. Step 4: Simplify right side
    31,787,770.50x = 4,713,588,321,858,506
  5. Step 5: Solve for x
    x = 4,713,588,321,858,506/31,787,770.50
  6. Step 6: Final answer
    x = 148,283,073.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.