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Finding the Third Proportional to 368,738,894 and 805,033,536

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Solution

The third proportional to 368,738,894 and 805,033,536 is: 1,757,555,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,738,894 : 805,033,536 = 805,033,536 : x
  2. Step 2: Convert to fraction form
    368,738,894/805,033,536 = 805,033,536/x
  3. Step 3: Cross multiply
    368,738,894x = 805,033,536 × 805,033,536
  4. Step 4: Simplify right side
    368,738,894x = 648,078,994,084,663,296
  5. Step 5: Solve for x
    x = 648,078,994,084,663,296/368,738,894
  6. Step 6: Final answer
    x = 1,757,555,290.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.