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Finding the Third Proportional to 9,570,692 and 14,710,846

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Solution

The third proportional to 9,570,692 and 14,710,846 is: 22,611,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,692 : 14,710,846 = 14,710,846 : x
  2. Step 2: Convert to fraction form
    9,570,692/14,710,846 = 14,710,846/x
  3. Step 3: Cross multiply
    9,570,692x = 14,710,846 × 14,710,846
  4. Step 4: Simplify right side
    9,570,692x = 216,408,990,035,716
  5. Step 5: Solve for x
    x = 216,408,990,035,716/9,570,692
  6. Step 6: Final answer
    x = 22,611,634.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.