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Finding the Third Proportional to 301,835,628 and 646,737,624

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Solution

The third proportional to 301,835,628 and 646,737,624 is: 1,385,752,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,835,628 : 646,737,624 = 646,737,624 : x
  2. Step 2: Convert to fraction form
    301,835,628/646,737,624 = 646,737,624/x
  3. Step 3: Cross multiply
    301,835,628x = 646,737,624 × 646,737,624
  4. Step 4: Simplify right side
    301,835,628x = 418,269,554,297,165,376
  5. Step 5: Solve for x
    x = 418,269,554,297,165,376/301,835,628
  6. Step 6: Final answer
    x = 1,385,752,759.10

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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.