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Finding the Third Proportional to 14,835,970 and 31,266,019

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Solution

The third proportional to 14,835,970 and 31,266,019 is: 65,891,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835,970 : 31,266,019 = 31,266,019 : x
  2. Step 2: Convert to fraction form
    14,835,970/31,266,019 = 31,266,019/x
  3. Step 3: Cross multiply
    14,835,970x = 31,266,019 × 31,266,019
  4. Step 4: Simplify right side
    14,835,970x = 977,563,944,108,361
  5. Step 5: Solve for x
    x = 977,563,944,108,361/14,835,970
  6. Step 6: Final answer
    x = 65,891,474.85

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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.