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Finding the Third Proportional to 1,754,837,341.50 and 3,811,756,719

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Solution

The third proportional to 1,754,837,341.50 and 3,811,756,719 is: 8,279,678,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,837,341.50 : 3,811,756,719 = 3,811,756,719 : x
  2. Step 2: Convert to fraction form
    1,754,837,341.50/3,811,756,719 = 3,811,756,719/x
  3. Step 3: Cross multiply
    1,754,837,341.50x = 3,811,756,719 × 3,811,756,719
  4. Step 4: Simplify right side
    1,754,837,341.50x = 14,529,489,284,841,644,032
  5. Step 5: Solve for x
    x = 14,529,489,284,841,644,032/1,754,837,341.50
  6. Step 6: Final answer
    x = 8,279,678,658.09

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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.