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Finding the Third Proportional to 31,229,696 and 67,671,712

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Solution

The third proportional to 31,229,696 and 67,671,712 is: 146,638,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229,696 : 67,671,712 = 67,671,712 : x
  2. Step 2: Convert to fraction form
    31,229,696/67,671,712 = 67,671,712/x
  3. Step 3: Cross multiply
    31,229,696x = 67,671,712 × 67,671,712
  4. Step 4: Simplify right side
    31,229,696x = 4,579,460,605,010,944
  5. Step 5: Solve for x
    x = 4,579,460,605,010,944/31,229,696
  6. Step 6: Final answer
    x = 146,638,014.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.