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Finding the Third Proportional to 30,646,614 and 45,704,158.50

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Solution

The third proportional to 30,646,614 and 45,704,158.50 is: 68,159,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,614 : 45,704,158.50 = 45,704,158.50 : x
  2. Step 2: Convert to fraction form
    30,646,614/45,704,158.50 = 45,704,158.50/x
  3. Step 3: Cross multiply
    30,646,614x = 45,704,158.50 × 45,704,158.50
  4. Step 4: Simplify right side
    30,646,614x = 2,088,870,104,193,122.25
  5. Step 5: Solve for x
    x = 2,088,870,104,193,122.25/30,646,614
  6. Step 6: Final answer
    x = 68,159,898.65

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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.