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Finding the Third Proportional to 302,375,641,626 and 647,881,039,395

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Solution

The third proportional to 302,375,641,626 and 647,881,039,395 is: 1,388,173,461,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,375,641,626 : 647,881,039,395 = 647,881,039,395 : x
  2. Step 2: Convert to fraction form
    302,375,641,626/647,881,039,395 = 647,881,039,395/x
  3. Step 3: Cross multiply
    302,375,641,626x = 647,881,039,395 × 647,881,039,395
  4. Step 4: Simplify right side
    302,375,641,626x = 419,749,841,207,545,510,756,352
  5. Step 5: Solve for x
    x = 419,749,841,207,545,510,756,352/302,375,641,626
  6. Step 6: Final answer
    x = 1,388,173,461,825.08

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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.