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Finding the Third Proportional to 782,740,044 and 1,677,526,902

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Solution

The third proportional to 782,740,044 and 1,677,526,902 is: 3,595,186,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,740,044 : 1,677,526,902 = 1,677,526,902 : x
  2. Step 2: Convert to fraction form
    782,740,044/1,677,526,902 = 1,677,526,902/x
  3. Step 3: Cross multiply
    782,740,044x = 1,677,526,902 × 1,677,526,902
  4. Step 4: Simplify right side
    782,740,044x = 2,814,096,506,933,717,504
  5. Step 5: Solve for x
    x = 2,814,096,506,933,717,504/782,740,044
  6. Step 6: Final answer
    x = 3,595,186,586.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.