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Finding the Third Proportional to 14,357,257 and 31,504,123.50

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Solution

The third proportional to 14,357,257 and 31,504,123.50 is: 69,129,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357,257 : 31,504,123.50 = 31,504,123.50 : x
  2. Step 2: Convert to fraction form
    14,357,257/31,504,123.50 = 31,504,123.50/x
  3. Step 3: Cross multiply
    14,357,257x = 31,504,123.50 × 31,504,123.50
  4. Step 4: Simplify right side
    14,357,257x = 992,509,797,503,252.25
  5. Step 5: Solve for x
    x = 992,509,797,503,252.25/14,357,257
  6. Step 6: Final answer
    x = 69,129,486.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.