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Finding the Third Proportional to 14,989,302 and 31,156,164

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Solution

The third proportional to 14,989,302 and 31,156,164 is: 64,759,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,989,302 : 31,156,164 = 31,156,164 : x
  2. Step 2: Convert to fraction form
    14,989,302/31,156,164 = 31,156,164/x
  3. Step 3: Cross multiply
    14,989,302x = 31,156,164 × 31,156,164
  4. Step 4: Simplify right side
    14,989,302x = 970,706,555,194,896
  5. Step 5: Solve for x
    x = 970,706,555,194,896/14,989,302
  6. Step 6: Final answer
    x = 64,759,957.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.