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Finding the Third Proportional to 393,577,827.19 and 911,156,784.19

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Solution

The third proportional to 393,577,827.19 and 911,156,784.19 is: 2,109,383,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,577,827.19 : 911,156,784.19 = 911,156,784.19 : x
  2. Step 2: Convert to fraction form
    393,577,827.19/911,156,784.19 = 911,156,784.19/x
  3. Step 3: Cross multiply
    393,577,827.19x = 911,156,784.19 × 911,156,784.19
  4. Step 4: Simplify right side
    393,577,827.19x = 830,206,685,370,906,496
  5. Step 5: Solve for x
    x = 830,206,685,370,906,496/393,577,827.19
  6. Step 6: Final answer
    x = 2,109,383,781.36

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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.