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Finding the Third Proportional to 34,595,068.50 and 48,662,322.75

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Solution

The third proportional to 34,595,068.50 and 48,662,322.75 is: 68,449,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,595,068.50 : 48,662,322.75 = 48,662,322.75 : x
  2. Step 2: Convert to fraction form
    34,595,068.50/48,662,322.75 = 48,662,322.75/x
  3. Step 3: Cross multiply
    34,595,068.50x = 48,662,322.75 × 48,662,322.75
  4. Step 4: Simplify right side
    34,595,068.50x = 2,368,021,655,425,167.50
  5. Step 5: Solve for x
    x = 2,368,021,655,425,167.50/34,595,068.50
  6. Step 6: Final answer
    x = 68,449,688.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.