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Finding the Third Proportional to 17,754,259 and 38,205,088.50

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Solution

The third proportional to 17,754,259 and 38,205,088.50 is: 82,212,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754,259 : 38,205,088.50 = 38,205,088.50 : x
  2. Step 2: Convert to fraction form
    17,754,259/38,205,088.50 = 38,205,088.50/x
  3. Step 3: Cross multiply
    17,754,259x = 38,205,088.50 × 38,205,088.50
  4. Step 4: Simplify right side
    17,754,259x = 1,459,628,787,292,832.25
  5. Step 5: Solve for x
    x = 1,459,628,787,292,832.25/17,754,259
  6. Step 6: Final answer
    x = 82,212,881.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.