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Finding the Third Proportional to 14,470,389,312.75 and 31,344,752,004

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Solution

The third proportional to 14,470,389,312.75 and 31,344,752,004 is: 67,896,824,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470,389,312.75 : 31,344,752,004 = 31,344,752,004 : x
  2. Step 2: Convert to fraction form
    14,470,389,312.75/31,344,752,004 = 31,344,752,004/x
  3. Step 3: Cross multiply
    14,470,389,312.75x = 31,344,752,004 × 31,344,752,004
  4. Step 4: Simplify right side
    14,470,389,312.75x = 982,493,478,192,262,021,120
  5. Step 5: Solve for x
    x = 982,493,478,192,262,021,120/14,470,389,312.75
  6. Step 6: Final answer
    x = 67,896,824,125.29

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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.