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Finding the Third Proportional to 51,436,740.50 and 78,360,985.50

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Solution

The third proportional to 51,436,740.50 and 78,360,985.50 is: 119,378,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,436,740.50 : 78,360,985.50 = 78,360,985.50 : x
  2. Step 2: Convert to fraction form
    51,436,740.50/78,360,985.50 = 78,360,985.50/x
  3. Step 3: Cross multiply
    51,436,740.50x = 78,360,985.50 × 78,360,985.50
  4. Step 4: Simplify right side
    51,436,740.50x = 6,140,444,048,531,210
  5. Step 5: Solve for x
    x = 6,140,444,048,531,210/51,436,740.50
  6. Step 6: Final answer
    x = 119,378,560.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.