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Finding the Third Proportional to 427,836,509 and 937,692,080

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Solution

The third proportional to 427,836,509 and 937,692,080 is: 2,055,145,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,836,509 : 937,692,080 = 937,692,080 : x
  2. Step 2: Convert to fraction form
    427,836,509/937,692,080 = 937,692,080/x
  3. Step 3: Cross multiply
    427,836,509x = 937,692,080 × 937,692,080
  4. Step 4: Simplify right side
    427,836,509x = 879,266,436,894,726,400
  5. Step 5: Solve for x
    x = 879,266,436,894,726,400/427,836,509
  6. Step 6: Final answer
    x = 2,055,145,875.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.