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Finding the Third Proportional to 270,564,314 and 418,271,391

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Solution

The third proportional to 270,564,314 and 418,271,391 is: 646,615,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,564,314 : 418,271,391 = 418,271,391 : x
  2. Step 2: Convert to fraction form
    270,564,314/418,271,391 = 418,271,391/x
  3. Step 3: Cross multiply
    270,564,314x = 418,271,391 × 418,271,391
  4. Step 4: Simplify right side
    270,564,314x = 174,950,956,529,074,880
  5. Step 5: Solve for x
    x = 174,950,956,529,074,880/270,564,314
  6. Step 6: Final answer
    x = 646,615,046.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.