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Finding the Third Proportional to 30,121,824.38 and 65,257,482.94

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Solution

The third proportional to 30,121,824.38 and 65,257,482.94 is: 141,377,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,121,824.38 : 65,257,482.94 = 65,257,482.94 : x
  2. Step 2: Convert to fraction form
    30,121,824.38/65,257,482.94 = 65,257,482.94/x
  3. Step 3: Cross multiply
    30,121,824.38x = 65,257,482.94 × 65,257,482.94
  4. Step 4: Simplify right side
    30,121,824.38x = 4,258,539,079,338,103.50
  5. Step 5: Solve for x
    x = 4,258,539,079,338,103.50/30,121,824.38
  6. Step 6: Final answer
    x = 141,377,196.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.