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Finding the Third Proportional to 21,804,785,748 and 47,330,945,544

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Solution

The third proportional to 21,804,785,748 and 47,330,945,544 is: 102,739,757,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804,785,748 : 47,330,945,544 = 47,330,945,544 : x
  2. Step 2: Convert to fraction form
    21,804,785,748/47,330,945,544 = 47,330,945,544/x
  3. Step 3: Cross multiply
    21,804,785,748x = 47,330,945,544 × 47,330,945,544
  4. Step 4: Simplify right side
    21,804,785,748x = 2,240,218,406,089,093,545,984
  5. Step 5: Solve for x
    x = 2,240,218,406,089,093,545,984/21,804,785,748
  6. Step 6: Final answer
    x = 102,739,757,775.17

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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.