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Finding the Third Proportional to 265,157,156 and 625,049,150

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Solution

The third proportional to 265,157,156 and 625,049,150 is: 1,473,414,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,157,156 : 625,049,150 = 625,049,150 : x
  2. Step 2: Convert to fraction form
    265,157,156/625,049,150 = 625,049,150/x
  3. Step 3: Cross multiply
    265,157,156x = 625,049,150 × 625,049,150
  4. Step 4: Simplify right side
    265,157,156x = 390,686,439,915,722,496
  5. Step 5: Solve for x
    x = 390,686,439,915,722,496/265,157,156
  6. Step 6: Final answer
    x = 1,473,414,656.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.