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Finding the Third Proportional to 14,490,918.19 and 31,251,814.24

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Solution

The third proportional to 14,490,918.19 and 31,251,814.24 is: 67,399,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490,918.19 : 31,251,814.24 = 31,251,814.24 : x
  2. Step 2: Convert to fraction form
    14,490,918.19/31,251,814.24 = 31,251,814.24/x
  3. Step 3: Cross multiply
    14,490,918.19x = 31,251,814.24 × 31,251,814.24
  4. Step 4: Simplify right side
    14,490,918.19x = 976,675,893,428,099.62
  5. Step 5: Solve for x
    x = 976,675,893,428,099.62/14,490,918.19
  6. Step 6: Final answer
    x = 67,399,172.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.