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Finding the Third Proportional to 270,564,316 and 418,271,393

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Solution

The third proportional to 270,564,316 and 418,271,393 is: 646,615,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,564,316 : 418,271,393 = 418,271,393 : x
  2. Step 2: Convert to fraction form
    270,564,316/418,271,393 = 418,271,393/x
  3. Step 3: Cross multiply
    270,564,316x = 418,271,393 × 418,271,393
  4. Step 4: Simplify right side
    270,564,316x = 174,950,958,202,160,448
  5. Step 5: Solve for x
    x = 174,950,958,202,160,448/270,564,316
  6. Step 6: Final answer
    x = 646,615,048.09

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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.