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Finding the Third Proportional to 127,904,819 and 281,312,964

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Solution

The third proportional to 127,904,819 and 281,312,964 is: 618,717,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,904,819 : 281,312,964 = 281,312,964 : x
  2. Step 2: Convert to fraction form
    127,904,819/281,312,964 = 281,312,964/x
  3. Step 3: Cross multiply
    127,904,819x = 281,312,964 × 281,312,964
  4. Step 4: Simplify right side
    127,904,819x = 79,136,983,714,465,296
  5. Step 5: Solve for x
    x = 79,136,983,714,465,296/127,904,819
  6. Step 6: Final answer
    x = 618,717,764.77

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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.