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Finding the Third Proportional to 14,835,965 and 31,266,010

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Solution

The third proportional to 14,835,965 and 31,266,010 is: 65,891,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835,965 : 31,266,010 = 31,266,010 : x
  2. Step 2: Convert to fraction form
    14,835,965/31,266,010 = 31,266,010/x
  3. Step 3: Cross multiply
    14,835,965x = 31,266,010 × 31,266,010
  4. Step 4: Simplify right side
    14,835,965x = 977,563,381,320,100
  5. Step 5: Solve for x
    x = 977,563,381,320,100/14,835,965
  6. Step 6: Final answer
    x = 65,891,459.12

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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.