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Finding the Third Proportional to 302,375,641,624 and 647,881,039,391

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Solution

The third proportional to 302,375,641,624 and 647,881,039,391 is: 1,388,173,461,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,375,641,624 : 647,881,039,391 = 647,881,039,391 : x
  2. Step 2: Convert to fraction form
    302,375,641,624/647,881,039,391 = 647,881,039,391/x
  3. Step 3: Cross multiply
    302,375,641,624x = 647,881,039,391 × 647,881,039,391
  4. Step 4: Simplify right side
    302,375,641,624x = 419,749,841,202,362,491,863,040
  5. Step 5: Solve for x
    x = 419,749,841,202,362,491,863,040/302,375,641,624
  6. Step 6: Final answer
    x = 1,388,173,461,817.13

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Why These Related Problems?

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