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Finding the Third Proportional to 14,537,764 and 31,716,160

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Solution

The third proportional to 14,537,764 and 31,716,160 is: 69,193,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537,764 : 31,716,160 = 31,716,160 : x
  2. Step 2: Convert to fraction form
    14,537,764/31,716,160 = 31,716,160/x
  3. Step 3: Cross multiply
    14,537,764x = 31,716,160 × 31,716,160
  4. Step 4: Simplify right side
    14,537,764x = 1,005,914,805,145,600
  5. Step 5: Solve for x
    x = 1,005,914,805,145,600/14,537,764
  6. Step 6: Final answer
    x = 69,193,227.04

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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.