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Finding the Third Proportional to 1,776,399,579 and 3,849,343,236

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Solution

The third proportional to 1,776,399,579 and 3,849,343,236 is: 8,341,278,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,399,579 : 3,849,343,236 = 3,849,343,236 : x
  2. Step 2: Convert to fraction form
    1,776,399,579/3,849,343,236 = 3,849,343,236/x
  3. Step 3: Cross multiply
    1,776,399,579x = 3,849,343,236 × 3,849,343,236
  4. Step 4: Simplify right side
    1,776,399,579x = 14,817,443,348,538,951,680
  5. Step 5: Solve for x
    x = 14,817,443,348,538,951,680/1,776,399,579
  6. Step 6: Final answer
    x = 8,341,278,349.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.