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Finding the Third Proportional to 31,152,838 and 68,178,464

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Solution

The third proportional to 31,152,838 and 68,178,464 is: 149,209,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152,838 : 68,178,464 = 68,178,464 : x
  2. Step 2: Convert to fraction form
    31,152,838/68,178,464 = 68,178,464/x
  3. Step 3: Cross multiply
    31,152,838x = 68,178,464 × 68,178,464
  4. Step 4: Simplify right side
    31,152,838x = 4,648,302,953,399,296
  5. Step 5: Solve for x
    x = 4,648,302,953,399,296/31,152,838
  6. Step 6: Final answer
    x = 149,209,614.66

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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.