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Finding the Third Proportional to 393,577,911 and 911,156,986

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Solution

The third proportional to 393,577,911 and 911,156,986 is: 2,109,384,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,577,911 : 911,156,986 = 911,156,986 : x
  2. Step 2: Convert to fraction form
    393,577,911/911,156,986 = 911,156,986/x
  3. Step 3: Cross multiply
    393,577,911x = 911,156,986 × 911,156,986
  4. Step 4: Simplify right side
    393,577,911x = 830,207,053,136,604,160
  5. Step 5: Solve for x
    x = 830,207,053,136,604,160/393,577,911
  6. Step 6: Final answer
    x = 2,109,384,266.58

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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.