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Finding the Third Proportional to 14,841,530.25 and 22,703,674.50

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Solution

The third proportional to 14,841,530.25 and 22,703,674.50 is: 34,730,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841,530.25 : 22,703,674.50 = 22,703,674.50 : x
  2. Step 2: Convert to fraction form
    14,841,530.25/22,703,674.50 = 22,703,674.50/x
  3. Step 3: Cross multiply
    14,841,530.25x = 22,703,674.50 × 22,703,674.50
  4. Step 4: Simplify right side
    14,841,530.25x = 515,456,835,801,950.25
  5. Step 5: Solve for x
    x = 515,456,835,801,950.25/14,841,530.25
  6. Step 6: Final answer
    x = 34,730,706.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.