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Finding the Third Proportional to 14,835,976 and 31,266,030

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Solution

The third proportional to 14,835,976 and 31,266,030 is: 65,891,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835,976 : 31,266,030 = 31,266,030 : x
  2. Step 2: Convert to fraction form
    14,835,976/31,266,030 = 31,266,030/x
  3. Step 3: Cross multiply
    14,835,976x = 31,266,030 × 31,266,030
  4. Step 4: Simplify right side
    14,835,976x = 977,564,631,960,900
  5. Step 5: Solve for x
    x = 977,564,631,960,900/14,835,976
  6. Step 6: Final answer
    x = 65,891,494.56

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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.