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Finding the Third Proportional to 361,993,866 and 767,423,712

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Solution

The third proportional to 361,993,866 and 767,423,712 is: 1,626,931,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,993,866 : 767,423,712 = 767,423,712 : x
  2. Step 2: Convert to fraction form
    361,993,866/767,423,712 = 767,423,712/x
  3. Step 3: Cross multiply
    361,993,866x = 767,423,712 × 767,423,712
  4. Step 4: Simplify right side
    361,993,866x = 588,939,153,739,858,944
  5. Step 5: Solve for x
    x = 588,939,153,739,858,944/361,993,866
  6. Step 6: Final answer
    x = 1,626,931,307.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.