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Finding the Third Proportional to 302,375,651,155 and 647,881,057,682

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Solution

The third proportional to 302,375,651,155 and 647,881,057,682 is: 1,388,173,496,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,375,651,155 : 647,881,057,682 = 647,881,057,682 : x
  2. Step 2: Convert to fraction form
    302,375,651,155/647,881,057,682 = 647,881,057,682/x
  3. Step 3: Cross multiply
    302,375,651,155x = 647,881,057,682 × 647,881,057,682
  4. Step 4: Simplify right side
    302,375,651,155x = 419,749,864,903,147,041,849,344
  5. Step 5: Solve for x
    x = 419,749,864,903,147,041,849,344/302,375,651,155
  6. Step 6: Final answer
    x = 1,388,173,496,443.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.