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Finding the Third Proportional to 14,357,257.50 and 31,504,124.63

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Solution

The third proportional to 14,357,257.50 and 31,504,124.63 is: 69,129,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357,257.50 : 31,504,124.63 = 31,504,124.63 : x
  2. Step 2: Convert to fraction form
    14,357,257.50/31,504,124.63 = 31,504,124.63/x
  3. Step 3: Cross multiply
    14,357,257.50x = 31,504,124.63 × 31,504,124.63
  4. Step 4: Simplify right side
    14,357,257.50x = 992,509,868,387,531.38
  5. Step 5: Solve for x
    x = 992,509,868,387,531.38/14,357,257.50
  6. Step 6: Final answer
    x = 69,129,488.58

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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.