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Finding the Third Proportional to 45,521,728 and 68,284,047

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Solution

The third proportional to 45,521,728 and 68,284,047 is: 102,428,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,521,728 : 68,284,047 = 68,284,047 : x
  2. Step 2: Convert to fraction form
    45,521,728/68,284,047 = 68,284,047/x
  3. Step 3: Cross multiply
    45,521,728x = 68,284,047 × 68,284,047
  4. Step 4: Simplify right side
    45,521,728x = 4,662,711,074,698,209
  5. Step 5: Solve for x
    x = 4,662,711,074,698,209/45,521,728
  6. Step 6: Final answer
    x = 102,428,253.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.