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Finding the Third Proportional to 4,000,369,586 and 8,615,160,836

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Solution

The third proportional to 4,000,369,586 and 8,615,160,836 is: 18,553,534,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000,369,586 : 8,615,160,836 = 8,615,160,836 : x
  2. Step 2: Convert to fraction form
    4,000,369,586/8,615,160,836 = 8,615,160,836/x
  3. Step 3: Cross multiply
    4,000,369,586x = 8,615,160,836 × 8,615,160,836
  4. Step 4: Simplify right side
    4,000,369,586x = 74,220,996,230,148,227,072
  5. Step 5: Solve for x
    x = 74,220,996,230,148,227,072/4,000,369,586
  6. Step 6: Final answer
    x = 18,553,534,775.86

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Why These Related Problems?

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