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Finding the Third Proportional to 14,835,964.50 and 31,266,009

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Solution

The third proportional to 14,835,964.50 and 31,266,009 is: 65,891,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835,964.50 : 31,266,009 = 31,266,009 : x
  2. Step 2: Convert to fraction form
    14,835,964.50/31,266,009 = 31,266,009/x
  3. Step 3: Cross multiply
    14,835,964.50x = 31,266,009 × 31,266,009
  4. Step 4: Simplify right side
    14,835,964.50x = 977,563,318,788,081
  5. Step 5: Solve for x
    x = 977,563,318,788,081/14,835,964.50
  6. Step 6: Final answer
    x = 65,891,457.13

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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.