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Finding the Third Proportional to 14,470,389,314 and 31,344,752,006

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Solution

The third proportional to 14,470,389,314 and 31,344,752,006 is: 67,896,824,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470,389,314 : 31,344,752,006 = 31,344,752,006 : x
  2. Step 2: Convert to fraction form
    14,470,389,314/31,344,752,006 = 31,344,752,006/x
  3. Step 3: Cross multiply
    14,470,389,314x = 31,344,752,006 × 31,344,752,006
  4. Step 4: Simplify right side
    14,470,389,314x = 982,493,478,317,641,039,872
  5. Step 5: Solve for x
    x = 982,493,478,317,641,039,872/14,470,389,314
  6. Step 6: Final answer
    x = 67,896,824,128.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.