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Finding the Third Proportional to 14,537,812.50 and 31,716,223.50

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Solution

The third proportional to 14,537,812.50 and 31,716,223.50 is: 69,193,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537,812.50 : 31,716,223.50 = 31,716,223.50 : x
  2. Step 2: Convert to fraction form
    14,537,812.50/31,716,223.50 = 31,716,223.50/x
  3. Step 3: Cross multiply
    14,537,812.50x = 31,716,223.50 × 31,716,223.50
  4. Step 4: Simplify right side
    14,537,812.50x = 1,005,918,833,101,952.25
  5. Step 5: Solve for x
    x = 1,005,918,833,101,952.25/14,537,812.50
  6. Step 6: Final answer
    x = 69,193,273.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.