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Finding the Third Proportional to 431,398,826,344 and 937,884,924,360

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Solution

The third proportional to 431,398,826,344 and 937,884,924,360 is: 2,039,013,733,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,398,826,344 : 937,884,924,360 = 937,884,924,360 : x
  2. Step 2: Convert to fraction form
    431,398,826,344/937,884,924,360 = 937,884,924,360/x
  3. Step 3: Cross multiply
    431,398,826,344x = 937,884,924,360 × 937,884,924,360
  4. Step 4: Simplify right side
    431,398,826,344x = 879,628,131,341,762,857,795,584
  5. Step 5: Solve for x
    x = 879,628,131,341,762,857,795,584/431,398,826,344
  6. Step 6: Final answer
    x = 2,039,013,733,060.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.