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Finding the Third Proportional to 637,019,457.75 and 1,384,304,428.13

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Solution

The third proportional to 637,019,457.75 and 1,384,304,428.13 is: 3,008,226,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,019,457.75 : 1,384,304,428.13 = 1,384,304,428.13 : x
  2. Step 2: Convert to fraction form
    637,019,457.75/1,384,304,428.13 = 1,384,304,428.13/x
  3. Step 3: Cross multiply
    637,019,457.75x = 1,384,304,428.13 × 1,384,304,428.13
  4. Step 4: Simplify right side
    637,019,457.75x = 1,916,298,749,726,483,200
  5. Step 5: Solve for x
    x = 1,916,298,749,726,483,200/637,019,457.75
  6. Step 6: Final answer
    x = 3,008,226,399.39

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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.