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Finding the Third Proportional to 14,191,705 and 31,070,136

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Solution

The third proportional to 14,191,705 and 31,070,136 is: 68,022,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191,705 : 31,070,136 = 31,070,136 : x
  2. Step 2: Convert to fraction form
    14,191,705/31,070,136 = 31,070,136/x
  3. Step 3: Cross multiply
    14,191,705x = 31,070,136 × 31,070,136
  4. Step 4: Simplify right side
    14,191,705x = 965,353,351,058,496
  5. Step 5: Solve for x
    x = 965,353,351,058,496/14,191,705
  6. Step 6: Final answer
    x = 68,022,365.96

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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.