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Finding the Third Proportional to 31,152,834 and 68,178,456

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Solution

The third proportional to 31,152,834 and 68,178,456 is: 149,209,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152,834 : 68,178,456 = 68,178,456 : x
  2. Step 2: Convert to fraction form
    31,152,834/68,178,456 = 68,178,456/x
  3. Step 3: Cross multiply
    31,152,834x = 68,178,456 × 68,178,456
  4. Step 4: Simplify right side
    31,152,834x = 4,648,301,862,543,936
  5. Step 5: Solve for x
    x = 4,648,301,862,543,936/31,152,834
  6. Step 6: Final answer
    x = 149,209,598.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.