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Finding the Third Proportional to 224,741,561,548.50 and 324,712,746,072

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Solution

The third proportional to 224,741,561,548.50 and 324,712,746,072 is: 469,153,843,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,741,561,548.50 : 324,712,746,072 = 324,712,746,072 : x
  2. Step 2: Convert to fraction form
    224,741,561,548.50/324,712,746,072 = 324,712,746,072/x
  3. Step 3: Cross multiply
    224,741,561,548.50x = 324,712,746,072 × 324,712,746,072
  4. Step 4: Simplify right side
    224,741,561,548.50x = 105,438,367,461,619,154,288,640
  5. Step 5: Solve for x
    x = 105,438,367,461,619,154,288,640/224,741,561,548.50
  6. Step 6: Final answer
    x = 469,153,843,797.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.