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Finding the Third Proportional to 32,457,912 and 68,537,508

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Solution

The third proportional to 32,457,912 and 68,537,508 is: 144,722,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457,912 : 68,537,508 = 68,537,508 : x
  2. Step 2: Convert to fraction form
    32,457,912/68,537,508 = 68,537,508/x
  3. Step 3: Cross multiply
    32,457,912x = 68,537,508 × 68,537,508
  4. Step 4: Simplify right side
    32,457,912x = 4,697,390,002,850,064
  5. Step 5: Solve for x
    x = 4,697,390,002,850,064/32,457,912
  6. Step 6: Final answer
    x = 144,722,494.87

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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.