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Finding the Third Proportional to 4,971,658.50 and 7,860,078

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Solution

The third proportional to 4,971,658.50 and 7,860,078 is: 12,426,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971,658.50 : 7,860,078 = 7,860,078 : x
  2. Step 2: Convert to fraction form
    4,971,658.50/7,860,078 = 7,860,078/x
  3. Step 3: Cross multiply
    4,971,658.50x = 7,860,078 × 7,860,078
  4. Step 4: Simplify right side
    4,971,658.50x = 61,780,826,166,084
  5. Step 5: Solve for x
    x = 61,780,826,166,084/4,971,658.50
  6. Step 6: Final answer
    x = 12,426,602.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.