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Finding the Third Proportional to 24,962,444,842.50 and 53,459,356,153.50

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Solution

The third proportional to 24,962,444,842.50 and 53,459,356,153.50 is: 114,488,095,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,962,444,842.50 : 53,459,356,153.50 = 53,459,356,153.50 : x
  2. Step 2: Convert to fraction form
    24,962,444,842.50/53,459,356,153.50 = 53,459,356,153.50/x
  3. Step 3: Cross multiply
    24,962,444,842.50x = 53,459,356,153.50 × 53,459,356,153.50
  4. Step 4: Simplify right side
    24,962,444,842.50x = 2,857,902,760,346,758,152,192
  5. Step 5: Solve for x
    x = 2,857,902,760,346,758,152,192/24,962,444,842.50
  6. Step 6: Final answer
    x = 114,488,095,151.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.