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Finding the Third Proportional to 30,653,808 and 51,087,624

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Solution

The third proportional to 30,653,808 and 51,087,624 is: 85,142,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653,808 : 51,087,624 = 51,087,624 : x
  2. Step 2: Convert to fraction form
    30,653,808/51,087,624 = 51,087,624/x
  3. Step 3: Cross multiply
    30,653,808x = 51,087,624 × 51,087,624
  4. Step 4: Simplify right side
    30,653,808x = 2,609,945,325,965,376
  5. Step 5: Solve for x
    x = 2,609,945,325,965,376/30,653,808
  6. Step 6: Final answer
    x = 85,142,613.47

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.