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Finding the Third Proportional to 6,835,848 and 14,845,294.50

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Solution

The third proportional to 6,835,848 and 14,845,294.50 is: 32,239,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,848 : 14,845,294.50 = 14,845,294.50 : x
  2. Step 2: Convert to fraction form
    6,835,848/14,845,294.50 = 14,845,294.50/x
  3. Step 3: Cross multiply
    6,835,848x = 14,845,294.50 × 14,845,294.50
  4. Step 4: Simplify right side
    6,835,848x = 220,382,768,791,730.25
  5. Step 5: Solve for x
    x = 220,382,768,791,730.25/6,835,848
  6. Step 6: Final answer
    x = 32,239,272.84

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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.