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Finding the Third Proportional to 11,695,463,854.50 and 25,534,097,043

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Solution

The third proportional to 11,695,463,854.50 and 25,534,097,043 is: 55,747,264,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695,463,854.50 : 25,534,097,043 = 25,534,097,043 : x
  2. Step 2: Convert to fraction form
    11,695,463,854.50/25,534,097,043 = 25,534,097,043/x
  3. Step 3: Cross multiply
    11,695,463,854.50x = 25,534,097,043 × 25,534,097,043
  4. Step 4: Simplify right side
    11,695,463,854.50x = 651,990,111,801,341,378,560
  5. Step 5: Solve for x
    x = 651,990,111,801,341,378,560/11,695,463,854.50
  6. Step 6: Final answer
    x = 55,747,264,060.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.