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Finding the Third Proportional to 53,724,816,953 and 114,996,693,977.50

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Solution

The third proportional to 53,724,816,953 and 114,996,693,977.50 is: 246,147,690,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,724,816,953 : 114,996,693,977.50 = 114,996,693,977.50 : x
  2. Step 2: Convert to fraction form
    53,724,816,953/114,996,693,977.50 = 114,996,693,977.50/x
  3. Step 3: Cross multiply
    53,724,816,953x = 114,996,693,977.50 × 114,996,693,977.50
  4. Step 4: Simplify right side
    53,724,816,953x = 13,224,239,625,754,785,087,488
  5. Step 5: Solve for x
    x = 13,224,239,625,754,785,087,488/53,724,816,953
  6. Step 6: Final answer
    x = 246,147,690,690.58

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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.