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Finding the Third Proportional to 11,748,873 and 17,961,075.75

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Solution

The third proportional to 11,748,873 and 17,961,075.75 is: 27,457,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748,873 : 17,961,075.75 = 17,961,075.75 : x
  2. Step 2: Convert to fraction form
    11,748,873/17,961,075.75 = 17,961,075.75/x
  3. Step 3: Cross multiply
    11,748,873x = 17,961,075.75 × 17,961,075.75
  4. Step 4: Simplify right side
    11,748,873x = 322,600,242,097,238.06
  5. Step 5: Solve for x
    x = 322,600,242,097,238.06/11,748,873
  6. Step 6: Final answer
    x = 27,457,973.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.