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Finding the Third Proportional to 224,637,023,520 and 457,119,326,016

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Solution

The third proportional to 224,637,023,520 and 457,119,326,016 is: 930,203,200,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,637,023,520 : 457,119,326,016 = 457,119,326,016 : x
  2. Step 2: Convert to fraction form
    224,637,023,520/457,119,326,016 = 457,119,326,016/x
  3. Step 3: Cross multiply
    224,637,023,520x = 457,119,326,016 × 457,119,326,016
  4. Step 4: Simplify right side
    224,637,023,520x = 208,958,078,217,322,078,666,752
  5. Step 5: Solve for x
    x = 208,958,078,217,322,078,666,752/224,637,023,520
  6. Step 6: Final answer
    x = 930,203,200,447.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.