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Finding the Third Proportional to 518,323,561,740 and 807,789,347,442

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Solution

The third proportional to 518,323,561,740 and 807,789,347,442 is: 1,258,911,764,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,323,561,740 : 807,789,347,442 = 807,789,347,442 : x
  2. Step 2: Convert to fraction form
    518,323,561,740/807,789,347,442 = 807,789,347,442/x
  3. Step 3: Cross multiply
    518,323,561,740x = 807,789,347,442 × 807,789,347,442
  4. Step 4: Simplify right side
    518,323,561,740x = 652,523,629,840,772,253,089,792
  5. Step 5: Solve for x
    x = 652,523,629,840,772,253,089,792/518,323,561,740
  6. Step 6: Final answer
    x = 1,258,911,764,786.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.