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Finding the Third Proportional to 1,741,440,396 and 3,788,977,560

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Solution

The third proportional to 1,741,440,396 and 3,788,977,560 is: 8,243,951,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,440,396 : 3,788,977,560 = 3,788,977,560 : x
  2. Step 2: Convert to fraction form
    1,741,440,396/3,788,977,560 = 3,788,977,560/x
  3. Step 3: Cross multiply
    1,741,440,396x = 3,788,977,560 × 3,788,977,560
  4. Step 4: Simplify right side
    1,741,440,396x = 14,356,350,950,183,553,024
  5. Step 5: Solve for x
    x = 14,356,350,950,183,553,024/1,741,440,396
  6. Step 6: Final answer
    x = 8,243,951,951.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.