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Finding the Third Proportional to 14,835,960 and 31,266,000

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Solution

The third proportional to 14,835,960 and 31,266,000 is: 65,891,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835,960 : 31,266,000 = 31,266,000 : x
  2. Step 2: Convert to fraction form
    14,835,960/31,266,000 = 31,266,000/x
  3. Step 3: Cross multiply
    14,835,960x = 31,266,000 × 31,266,000
  4. Step 4: Simplify right side
    14,835,960x = 977,562,756,000,000
  5. Step 5: Solve for x
    x = 977,562,756,000,000/14,835,960
  6. Step 6: Final answer
    x = 65,891,439.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.