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Finding the Third Proportional to 11,748,774.09 and 17,960,848.03

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Solution

The third proportional to 11,748,774.09 and 17,960,848.03 is: 27,457,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748,774.09 : 17,960,848.03 = 17,960,848.03 : x
  2. Step 2: Convert to fraction form
    11,748,774.09/17,960,848.03 = 17,960,848.03/x
  3. Step 3: Cross multiply
    11,748,774.09x = 17,960,848.03 × 17,960,848.03
  4. Step 4: Simplify right side
    11,748,774.09x = 322,592,062,001,657
  5. Step 5: Solve for x
    x = 322,592,062,001,657/11,748,774.09
  6. Step 6: Final answer
    x = 27,457,508.28

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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.