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Finding the Third Proportional to 7,664,253 and 10,656,565

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Solution

The third proportional to 7,664,253 and 10,656,565 is: 14,817,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,253 : 10,656,565 = 10,656,565 : x
  2. Step 2: Convert to fraction form
    7,664,253/10,656,565 = 10,656,565/x
  3. Step 3: Cross multiply
    7,664,253x = 10,656,565 × 10,656,565
  4. Step 4: Simplify right side
    7,664,253x = 113,562,377,599,225
  5. Step 5: Solve for x
    x = 113,562,377,599,225/7,664,253
  6. Step 6: Final answer
    x = 14,817,148.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.