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Finding the Third Proportional to 385,527,664.13 and 587,330,910

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Solution

The third proportional to 385,527,664.13 and 587,330,910 is: 894,767,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527,664.13 : 587,330,910 = 587,330,910 : x
  2. Step 2: Convert to fraction form
    385,527,664.13/587,330,910 = 587,330,910/x
  3. Step 3: Cross multiply
    385,527,664.13x = 587,330,910 × 587,330,910
  4. Step 4: Simplify right side
    385,527,664.13x = 344,957,597,841,428,096
  5. Step 5: Solve for x
    x = 344,957,597,841,428,096/385,527,664.13
  6. Step 6: Final answer
    x = 894,767,431.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.