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Finding the Third Proportional to 393,577,889 and 911,156,939

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Solution

The third proportional to 393,577,889 and 911,156,939 is: 2,109,384,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,577,889 : 911,156,939 = 911,156,939 : x
  2. Step 2: Convert to fraction form
    393,577,889/911,156,939 = 911,156,939/x
  3. Step 3: Cross multiply
    393,577,889x = 911,156,939 × 911,156,939
  4. Step 4: Simplify right side
    393,577,889x = 830,206,967,487,849,728
  5. Step 5: Solve for x
    x = 830,206,967,487,849,728/393,577,889
  6. Step 6: Final answer
    x = 2,109,384,166.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.