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Finding the Third Proportional to 2,939,034,345 and 6,345,605,184

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Solution

The third proportional to 2,939,034,345 and 6,345,605,184 is: 13,700,658,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939,034,345 : 6,345,605,184 = 6,345,605,184 : x
  2. Step 2: Convert to fraction form
    2,939,034,345/6,345,605,184 = 6,345,605,184/x
  3. Step 3: Cross multiply
    2,939,034,345x = 6,345,605,184 × 6,345,605,184
  4. Step 4: Simplify right side
    2,939,034,345x = 40,266,705,151,207,669,760
  5. Step 5: Solve for x
    x = 40,266,705,151,207,669,760/2,939,034,345
  6. Step 6: Final answer
    x = 13,700,658,251.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.