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Finding the Third Proportional to 385,950,846 and 596,358,036

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Solution

The third proportional to 385,950,846 and 596,358,036 is: 921,472,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,950,846 : 596,358,036 = 596,358,036 : x
  2. Step 2: Convert to fraction form
    385,950,846/596,358,036 = 596,358,036/x
  3. Step 3: Cross multiply
    385,950,846x = 596,358,036 × 596,358,036
  4. Step 4: Simplify right side
    385,950,846x = 355,642,907,101,777,280
  5. Step 5: Solve for x
    x = 355,642,907,101,777,280/385,950,846
  6. Step 6: Final answer
    x = 921,472,023.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.