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Finding the Third Proportional to 13,919,209 and 21,294,835.50

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Solution

The third proportional to 13,919,209 and 21,294,835.50 is: 32,578,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919,209 : 21,294,835.50 = 21,294,835.50 : x
  2. Step 2: Convert to fraction form
    13,919,209/21,294,835.50 = 21,294,835.50/x
  3. Step 3: Cross multiply
    13,919,209x = 21,294,835.50 × 21,294,835.50
  4. Step 4: Simplify right side
    13,919,209x = 453,470,018,972,060.25
  5. Step 5: Solve for x
    x = 453,470,018,972,060.25/13,919,209
  6. Step 6: Final answer
    x = 32,578,720.46

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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.