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Finding the Third Proportional to 14,443,031 and 31,719,982

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Solution

The third proportional to 14,443,031 and 31,719,982 is: 69,663,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443,031 : 31,719,982 = 31,719,982 : x
  2. Step 2: Convert to fraction form
    14,443,031/31,719,982 = 31,719,982/x
  3. Step 3: Cross multiply
    14,443,031x = 31,719,982 × 31,719,982
  4. Step 4: Simplify right side
    14,443,031x = 1,006,157,258,080,324
  5. Step 5: Solve for x
    x = 1,006,157,258,080,324/14,443,031
  6. Step 6: Final answer
    x = 69,663,857.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.