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Finding the Third Proportional to 32,457,935.25 and 68,537,542.50

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Solution

The third proportional to 32,457,935.25 and 68,537,542.50 is: 144,722,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457,935.25 : 68,537,542.50 = 68,537,542.50 : x
  2. Step 2: Convert to fraction form
    32,457,935.25/68,537,542.50 = 68,537,542.50/x
  3. Step 3: Cross multiply
    32,457,935.25x = 68,537,542.50 × 68,537,542.50
  4. Step 4: Simplify right side
    32,457,935.25x = 4,697,394,731,939,306
  5. Step 5: Solve for x
    x = 4,697,394,731,939,306/32,457,935.25
  6. Step 6: Final answer
    x = 144,722,536.90

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.