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Finding the Third Proportional to 12,893,337 and 19,506,102

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Solution

The third proportional to 12,893,337 and 19,506,102 is: 29,510,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893,337 : 19,506,102 = 19,506,102 : x
  2. Step 2: Convert to fraction form
    12,893,337/19,506,102 = 19,506,102/x
  3. Step 3: Cross multiply
    12,893,337x = 19,506,102 × 19,506,102
  4. Step 4: Simplify right side
    12,893,337x = 380,488,015,234,404
  5. Step 5: Solve for x
    x = 380,488,015,234,404/12,893,337
  6. Step 6: Final answer
    x = 29,510,437.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.