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Finding the Third Proportional to 302,375,641,628 and 647,881,039,398

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Solution

The third proportional to 302,375,641,628 and 647,881,039,398 is: 1,388,173,461,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,375,641,628 : 647,881,039,398 = 647,881,039,398 : x
  2. Step 2: Convert to fraction form
    302,375,641,628/647,881,039,398 = 647,881,039,398/x
  3. Step 3: Cross multiply
    302,375,641,628x = 647,881,039,398 × 647,881,039,398
  4. Step 4: Simplify right side
    302,375,641,628x = 419,749,841,211,432,858,812,416
  5. Step 5: Solve for x
    x = 419,749,841,211,432,858,812,416/302,375,641,628
  6. Step 6: Final answer
    x = 1,388,173,461,828.76

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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.