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Finding the Third Proportional to 14,714,041.36 and 31,676,871.23

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Solution

The third proportional to 14,714,041.36 and 31,676,871.23 is: 68,195,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714,041.36 : 31,676,871.23 = 31,676,871.23 : x
  2. Step 2: Convert to fraction form
    14,714,041.36/31,676,871.23 = 31,676,871.23/x
  3. Step 3: Cross multiply
    14,714,041.36x = 31,676,871.23 × 31,676,871.23
  4. Step 4: Simplify right side
    14,714,041.36x = 1,003,424,171,199,174.38
  5. Step 5: Solve for x
    x = 1,003,424,171,199,174.38/14,714,041.36
  6. Step 6: Final answer
    x = 68,195,008.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.