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Finding the Third Proportional to 30,646,624 and 45,704,172

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Solution

The third proportional to 30,646,624 and 45,704,172 is: 68,159,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,624 : 45,704,172 = 45,704,172 : x
  2. Step 2: Convert to fraction form
    30,646,624/45,704,172 = 45,704,172/x
  3. Step 3: Cross multiply
    30,646,624x = 45,704,172 × 45,704,172
  4. Step 4: Simplify right side
    30,646,624x = 2,088,871,338,205,584
  5. Step 5: Solve for x
    x = 2,088,871,338,205,584/30,646,624
  6. Step 6: Final answer
    x = 68,159,916.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.