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Finding the Third Proportional to 393,577,962.19 and 911,157,121.69

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Solution

The third proportional to 393,577,962.19 and 911,157,121.69 is: 2,109,384,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,577,962.19 : 911,157,121.69 = 911,157,121.69 : x
  2. Step 2: Convert to fraction form
    393,577,962.19/911,157,121.69 = 911,157,121.69/x
  3. Step 3: Cross multiply
    393,577,962.19x = 911,157,121.69 × 911,157,121.69
  4. Step 4: Simplify right side
    393,577,962.19x = 830,207,300,401,849,728
  5. Step 5: Solve for x
    x = 830,207,300,401,849,728/393,577,962.19
  6. Step 6: Final answer
    x = 2,109,384,620.49

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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.