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Finding the Third Proportional to 276,915,600 and 590,894,928

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Solution

The third proportional to 276,915,600 and 590,894,928 is: 1,260,878,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,915,600 : 590,894,928 = 590,894,928 : x
  2. Step 2: Convert to fraction form
    276,915,600/590,894,928 = 590,894,928/x
  3. Step 3: Cross multiply
    276,915,600x = 590,894,928 × 590,894,928
  4. Step 4: Simplify right side
    276,915,600x = 349,156,815,936,125,184
  5. Step 5: Solve for x
    x = 349,156,815,936,125,184/276,915,600
  6. Step 6: Final answer
    x = 1,260,878,101.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.