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Finding the Third Proportional to 6,730,182 and 14,678,401.50

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Solution

The third proportional to 6,730,182 and 14,678,401.50 is: 32,013,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730,182 : 14,678,401.50 = 14,678,401.50 : x
  2. Step 2: Convert to fraction form
    6,730,182/14,678,401.50 = 14,678,401.50/x
  3. Step 3: Cross multiply
    6,730,182x = 14,678,401.50 × 14,678,401.50
  4. Step 4: Simplify right side
    6,730,182x = 215,455,470,595,202.25
  5. Step 5: Solve for x
    x = 215,455,470,595,202.25/6,730,182
  6. Step 6: Final answer
    x = 32,013,320.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.