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Finding the Third Proportional to 13,985,823 and 32,968,555.50

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Solution

The third proportional to 13,985,823 and 32,968,555.50 is: 77,716,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985,823 : 32,968,555.50 = 32,968,555.50 : x
  2. Step 2: Convert to fraction form
    13,985,823/32,968,555.50 = 32,968,555.50/x
  3. Step 3: Cross multiply
    13,985,823x = 32,968,555.50 × 32,968,555.50
  4. Step 4: Simplify right side
    13,985,823x = 1,086,925,651,756,580.25
  5. Step 5: Solve for x
    x = 1,086,925,651,756,580.25/13,985,823
  6. Step 6: Final answer
    x = 77,716,245.35

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.